115180416 has 96 divisors (see below), whose sum is σ = 356985720. Its totient is φ = 35435520.

The previous prime is 115180411. The next prime is 115180441. The reversal of 115180416 is 614081511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 115180416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115180411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11131 + ... + 18821.

Almost surely, 2^115180416 is an apocalyptic number.

115180416 is a gapful number since it is divisible by the number (16) 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 115180416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178492860).

115180416 is an abundant number, since it is smaller than the sum of its proper divisors (241805304).

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

115180416 is a wasteful number, since it uses less digits than its factorization.

115180416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7724 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 115180416 is about 10732.2139374875. The cubic root of 115180416 is about 486.5485854342.

The spelling of 115180416 in words is "one hundred fifteen million, one hundred eighty thousand, four hundred sixteen".