115846560 has 72 divisors (see below), whose sum is σ = 395331300. Its totient is φ = 30892032.

The previous prime is 115846541. The next prime is 115846573. The reversal of 115846560 is 65648511.

115846560 is a `hidden beast` number, since 1 + 1 + 58 + 46 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114318864 + 1527696 = 10692^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 38785 + ... + 41664.

Almost surely, 2^115846560 is an apocalyptic number.

115846560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115846560 is an abundant number, since it is smaller than the sum of its proper divisors (279484740).

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

115846560 is a wasteful number, since it uses less digits than its factorization.

115846560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80470 (or 80459 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 115846560 is about 10763.2039839446. The cubic root of 115846560 is about 487.4847648099.

The spelling of 115846560 in words is "one hundred fifteen million, eight hundred forty-six thousand, five hundred sixty".