115906560 has 384 divisors, whose sum is σ = 471744000. Its totient is φ = 24084480.

The previous prime is 115906523. The next prime is 115906589. The reversal of 115906560 is 65609511.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 10536955 + ... + 10536965.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2^115906560 is an apocalyptic number.

115906560 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 115906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

115906560 is an abundant number, since it is smaller than the sum of its proper divisors (355837440).

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

115906560 is an equidigital number, since it uses as much as digits as its factorization.

115906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 115906560 is about 10765.9908972653. The cubic root of 115906560 is about 487.5689107057.

The spelling of 115906560 in words is "one hundred fifteen million, nine hundred six thousand, five hundred sixty".