1323261600 has 288 divisors, whose sum is σ = 4474963584. Its totient is φ = 339456000.

The previous prime is 1323261587. The next prime is 1323261601. The reversal of 1323261600 is 61623231.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1323261601) 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, 12847149 + ... + 12847251.

It is an arithmetic number, because the mean of its divisors is an integer number (15538068).

Almost surely, 2^1323261600 is an apocalyptic number.

1323261600 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 1323261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237481792).

1323261600 is an abundant number, since it is smaller than the sum of its proper divisors (3151701984).

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

1323261600 is a wasteful number, since it uses less digits than its factorization.

1323261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1323261600 is about 36376.6628485902. The cubic root of 1323261600 is about 1097.8640645780.

Adding to 1323261600 its reverse (61623231), we get a palindrome (1384884831).

The spelling of 1323261600 in words is "one billion, three hundred twenty-three million, two hundred sixty-one thousand, six hundred".