116885664 has 144 divisors (see below), whose sum is σ = 390394368. Its totient is φ = 32472576.

The previous prime is 116885641. The next prime is 116885753. The reversal of 116885664 is 466588611.

116885664 is a `hidden beast` number, since 1 + 1 + 6 + 88 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73809 + ... + 75375.

It is an arithmetic number, because the mean of its divisors is an integer number (2711072).

Almost surely, 2^116885664 is an apocalyptic number.

116885664 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 116885664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195197184).

116885664 is an abundant number, since it is smaller than the sum of its proper divisors (273508704).

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

116885664 is a wasteful number, since it uses less digits than its factorization.

116885664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1616 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 116885664 is about 10811.3673510801. The cubic root of 116885664 is about 488.9379524068.

The spelling of 116885664 in words is "one hundred sixteen million, eight hundred eighty-five thousand, six hundred sixty-four".