1323635040 has 864 divisors, whose sum is σ = 5993235360. Its totient is φ = 271724544.

The previous prime is 1323635039. The next prime is 1323635041. The reversal of 1323635040 is 405363231.

It is a happy number.

1323635040 is a `hidden beast` number, since 1 + 3 + 23 + 635 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1323635039) and next prime (1323635041).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1323634995 and 1323635013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323635041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35773902 + ... + 35773938.

It is an arithmetic number, because the mean of its divisors is an integer number (6936615).

Almost surely, 2^1323635040 is an apocalyptic number.

1323635040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996617680).

1323635040 is an abundant number, since it is smaller than the sum of its proper divisors (4669600320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1323635040 is a wasteful number, since it uses less digits than its factorization.

1323635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1323635040 is about 36381.7954477236. The cubic root of 1323635040 is about 1097.9673315850.

Adding to 1323635040 its reverse (405363231), we get a palindrome (1728998271).

Subtracting from 1323635040 its reverse (405363231), we obtain a square (918271809 = 30303²).

The spelling of 1323635040 in words is "one billion, three hundred twenty-three million, six hundred thirty-five thousand, forty".