115057680 has 80 divisors (see below), whose sum is σ = 365006400. Its totient is φ = 29965824.

The previous prime is 115057643. The next prime is 115057681. The reversal of 115057680 is 86750511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (115057681) 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, 4746 + ... + 15894.

It is an arithmetic number, because the mean of its divisors is an integer number (4562580).

Almost surely, 2^115057680 is an apocalyptic number.

115057680 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 115057680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182503200).

115057680 is an abundant number, since it is smaller than the sum of its proper divisors (249948720).

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

115057680 is a wasteful number, since it uses less digits than its factorization.

115057680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11208 (or 11202 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 115057680 is about 10726.4943014948. The cubic root of 115057680 is about 486.3757023080.

The spelling of 115057680 in words is "one hundred fifteen million, fifty-seven thousand, six hundred eighty".