115806720 has 160 divisors (see below), whose sum is σ = 392439168. Its totient is φ = 29032448.

The previous prime is 115806709. The next prime is 115806721. The reversal of 115806720 is 27608511.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×115806720² = 26822392794316800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (115806721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130117 + ... + 131003.

Almost surely, 2^115806720 is an apocalyptic number.

115806720 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 115806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196219584).

115806720 is an abundant number, since it is smaller than the sum of its proper divisors (276632448).

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

115806720 is an equidigital number, since it uses as much as digits as its factorization.

115806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 115806720 is about 10761.3530747764. The cubic root of 115806720 is about 487.4288758828.

The spelling of 115806720 in words is "one hundred fifteen million, eight hundred six thousand, seven hundred twenty".