115752864 has 96 divisors (see below), whose sum is σ = 338748480. Its totient is φ = 34394112.

The previous prime is 115752841. The next prime is 115752887. The reversal of 115752864 is 468257511.

It is an interprime number because it is at equal distance from previous prime (115752841) and next prime (115752887).

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29142 + ... + 32874.

It is an arithmetic number, because the mean of its divisors is an integer number (3528630).

Almost surely, 2^115752864 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 115752864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169374240).

115752864 is an abundant number, since it is smaller than the sum of its proper divisors (222995616).

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

115752864 is a wasteful number, since it uses less digits than its factorization.

115752864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3774 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 115752864 is about 10758.8504962194. The cubic root of 115752864 is about 487.3533044481.

The spelling of 115752864 in words is "one hundred fifteen million, seven hundred fifty-two thousand, eight hundred sixty-four".