115117760 has 56 divisors (see below), whose sum is σ = 286060896. Its totient is φ = 44042240.

The previous prime is 115117741. The next prime is 115117781. The reversal of 115117760 is 67711511.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461 + ... + 15180.

Almost surely, 2^115117760 is an apocalyptic number.

115117760 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 115117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143030448).

115117760 is an abundant number, since it is smaller than the sum of its proper divisors (170943136).

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

115117760 is a wasteful number, since it uses less digits than its factorization.

115117760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15681 (or 15671 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 29.

The square root of 115117760 is about 10729.2944782031. The cubic root of 115117760 is about 486.4603449772.

It can be divided in two parts, 115 and 117760, that multiplied together give a square (13542400 = 3680²).

The spelling of 115117760 in words is "one hundred fifteen million, one hundred seventeen thousand, seven hundred sixty".