115127680 has 64 divisors (see below), whose sum is σ = 284763600. Its totient is φ = 44455936.

The previous prime is 115127671. The next prime is 115127687. The reversal of 115127680 is 86721511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115127687) by changing a digit.

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, 15459 + ... + 21661.

Almost surely, 2^115127680 is an apocalyptic number.

115127680 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 115127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142381800).

115127680 is an abundant number, since it is smaller than the sum of its proper divisors (169635920).

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

115127680 is an equidigital number, since it uses as much as digits as its factorization.

115127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6251 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 31.

The square root of 115127680 is about 10729.7567539996. The cubic root of 115127680 is about 486.4743177648.

The spelling of 115127680 in words is "one hundred fifteen million, one hundred twenty-seven thousand, six hundred eighty".