115636416 has 112 divisors (see below), whose sum is σ = 353665536. Its totient is φ = 32661504.

The previous prime is 115636399. The next prime is 115636459. The reversal of 115636416 is 614636511.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129925 + ... + 130811.

It is an arithmetic number, because the mean of its divisors is an integer number (3157728).

Almost surely, 2^115636416 is an apocalyptic number.

115636416 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 115636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176832768).

115636416 is an abundant number, since it is smaller than the sum of its proper divisors (238029120).

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

115636416 is an equidigital number, since it uses as much as digits as its factorization.

115636416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 996 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 115636416 is about 10753.4374039188. The cubic root of 115636416 is about 487.1898229382.

The spelling of 115636416 in words is "one hundred fifteen million, six hundred thirty-six thousand, four hundred sixteen".