115642560 has 224 divisors, whose sum is σ = 410821632. Its totient is φ = 27320320.

The previous prime is 115642543. The next prime is 115642577. The reversal of 115642560 is 65246511.

It is an interprime number because it is at equal distance from previous prime (115642543) and next prime (115642577).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496204 + ... + 496436.

Almost surely, 2^115642560 is an apocalyptic number.

115642560 is a gapful number since it is divisible by the number (10) 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 115642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205410816).

115642560 is an abundant number, since it is smaller than the sum of its proper divisors (295179072).

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

115642560 is a wasteful number, since it uses less digits than its factorization.

115642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 115642560 is about 10753.7230762188. The cubic root of 115642560 is about 487.1984512503.

The spelling of 115642560 in words is "one hundred fifteen million, six hundred forty-two thousand, five hundred sixty".