117864576 has 96 divisors (see below), whose sum is σ = 342863820. Its totient is φ = 38860800.

The previous prime is 117864563. The next prime is 117864577. The reversal of 117864576 is 675468711.

117864576 is a `hidden beast` number, since 1 + 1 + 78 + 6 + 4 + 576 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117158976 + 705600 = 10824^2 + 840^2 .

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

It is not an unprimeable number, because it can be changed into a prime (117864577) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115846 + ... + 116858.

Almost surely, 2^117864576 is an apocalyptic number.

117864576 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 117864576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171431910).

117864576 is an abundant number, since it is smaller than the sum of its proper divisors (224999244).

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

117864576 is a wasteful number, since it uses less digits than its factorization.

117864576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1119 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 117864576 is about 10856.5453068644. The cubic root of 117864576 is about 490.2991037936.

The spelling of 117864576 in words is "one hundred seventeen million, eight hundred sixty-four thousand, five hundred seventy-six".