115637664 has 96 divisors (see below), whose sum is σ = 314677440. Its totient is φ = 37158912.

The previous prime is 115637653. The next prime is 115637729. The reversal of 115637664 is 466736511.

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

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, 449824 + ... + 450080.

It is an arithmetic number, because the mean of its divisors is an integer number (3277890).

Almost surely, 2^115637664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115637664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157338720).

115637664 is an abundant number, since it is smaller than the sum of its proper divisors (199039776).

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

115637664 is a wasteful number, since it uses less digits than its factorization.

115637664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 115637664 is about 10753.4954317189. The cubic root of 115637664 is about 487.1915755889.

The spelling of 115637664 in words is "one hundred fifteen million, six hundred thirty-seven thousand, six hundred sixty-four".