115776416 has 72 divisors (see below), whose sum is σ = 270962496. Its totient is φ = 48531840.

The previous prime is 115776407. The next prime is 115776431. The reversal of 115776416 is 614677511.

It is a self number, because there is not a number n which added to its sum of digits gives 115776416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72911 + ... + 74481.

It is an arithmetic number, because the mean of its divisors is an integer number (3763368).

Almost surely, 2^115776416 is an apocalyptic number.

115776416 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 115776416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135481248).

115776416 is an abundant number, since it is smaller than the sum of its proper divisors (155186080).

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

115776416 is a wasteful number, since it uses less digits than its factorization.

115776416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1627 counting only the distinct ones).

The product of its digits is 35280, while the sum is 38.

The square root of 115776416 is about 10759.9449812720. The cubic root of 115776416 is about 487.3863558021.

The spelling of 115776416 in words is "one hundred fifteen million, seven hundred seventy-six thousand, four hundred sixteen".