1152320256 has 180 divisors, whose sum is σ = 3496172064. Its totient is φ = 377395200.

The previous prime is 1152320243. The next prime is 1152320261. The reversal of 1152320256 is 6520232511.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1264441 + ... + 1265351.

Almost surely, 2^1152320256 is an apocalyptic number.

1152320256 is a gapful number since it is divisible by the number (16) 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 1152320256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748086032).

1152320256 is an abundant number, since it is smaller than the sum of its proper divisors (2343851808).

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

1152320256 is an frugal number, since it uses more digits than its factorization.

1152320256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1152320256 is about 33945.8429855557. The cubic root of 1152320256 is about 1048.3936908308.

Adding to 1152320256 its reverse (6520232511), we get a palindrome (7672552767).

The spelling of 1152320256 in words is "one billion, one hundred fifty-two million, three hundred twenty thousand, two hundred fifty-six".