1323786240 has 672 divisors, whose sum is σ = 5724875520. Its totient is φ = 286654464.

The previous prime is 1323786239. The next prime is 1323786241. The reversal of 1323786240 is 426873231.

It is a happy number.

1323786240 is a `hidden beast` number, since 1 + 3 + 23 + 7 + 8 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1323786239) and next prime (1323786241).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1323786195 and 1323786204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323786241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69672951 + ... + 69672969.

It is an arithmetic number, because the mean of its divisors is an integer number (8519160).

Almost surely, 2^1323786240 is an apocalyptic number.

1323786240 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 1323786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862437760).

1323786240 is an abundant number, since it is smaller than the sum of its proper divisors (4401089280).

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

1323786240 is an frugal number, since it uses more digits than its factorization.

1323786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1323786240 is about 36383.8733507031. The cubic root of 1323786240 is about 1098.0091372526.

The spelling of 1323786240 in words is "one billion, three hundred twenty-three million, seven hundred eighty-six thousand, two hundred forty".