116521664 has 56 divisors (see below), whose sum is σ = 265785600. Its totient is φ = 49648896.

The previous prime is 116521663. The next prime is 116521687. The reversal of 116521664 is 466125611.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 116521664.

It is not an unprimeable number, because it can be changed into a prime (116521663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88499 + ... + 89805.

Almost surely, 2^116521664 is an apocalyptic number.

116521664 is a gapful number since it is divisible by the number (14) 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 116521664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132892800).

116521664 is an abundant number, since it is smaller than the sum of its proper divisors (149263936).

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

116521664 is a wasteful number, since it uses less digits than its factorization.

116521664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1515 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 116521664 is about 10794.5200912315. The cubic root of 116521664 is about 488.4298818861.

The spelling of 116521664 in words is "one hundred sixteen million, five hundred twenty-one thousand, six hundred sixty-four".