115035264 has 96 divisors (see below), whose sum is σ = 336658140. Its totient is φ = 37693440.

The previous prime is 115035251. The next prime is 115035293. The reversal of 115035264 is 462530511.

It can be written as a sum of positive squares in 2 ways, for example, as 77580864 + 37454400 = 8808^2 + 6120^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×115035264² = 26466223927099392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69454 + ... + 71090.

Almost surely, 2^115035264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115035264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168329070).

115035264 is an abundant number, since it is smaller than the sum of its proper divisors (221622876).

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

115035264 is a wasteful number, since it uses less digits than its factorization.

115035264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1703 counting only the distinct ones).

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

The square root of 115035264 is about 10725.4493612156. The cubic root of 115035264 is about 486.3441143664.

Adding to 115035264 its reverse (462530511), we get a palindrome (577565775).

The spelling of 115035264 in words is "one hundred fifteen million, thirty-five thousand, two hundred sixty-four".