115764896 has 48 divisors (see below), whose sum is σ = 246399048. Its totient is φ = 53222400.

The previous prime is 115764871. The next prime is 115764907. The reversal of 115764896 is 698467511.

It can be written as a sum of positive squares in 4 ways, for example, as 57456400 + 58308496 = 7580^2 + 7636^2 .

It is a super-2 number, since 2×115764896² = 26803022291781632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 115764896.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174806 + ... + 175466.

Almost surely, 2^115764896 is an apocalyptic number.

115764896 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 115764896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123199524).

115764896 is an abundant number, since it is smaller than the sum of its proper divisors (130634152).

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

115764896 is a wasteful number, since it uses less digits than its factorization.

115764896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1097 counting only the distinct ones).

The product of its digits is 362880, while the sum is 47.

The square root of 115764896 is about 10759.4096492326. The cubic root of 115764896 is about 487.3701899391.

The spelling of 115764896 in words is "one hundred fifteen million, seven hundred sixty-four thousand, eight hundred ninety-six".