117264800 has 36 divisors (see below), whose sum is σ = 286274646. Its totient is φ = 46905600.

The previous prime is 117264767. The next prime is 117264821. The reversal of 117264800 is 8462711.

It can be written as a sum of positive squares in 3 ways, for example, as 80928016 + 36336784 = 8996^2 + 6028^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72491 + ... + 74090.

Almost surely, 2^117264800 is an apocalyptic number.

117264800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117264800 is an abundant number, since it is smaller than the sum of its proper divisors (169009846).

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

117264800 is a wasteful number, since it uses less digits than its factorization.

117264800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146601 (or 146588 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 117264800 is about 10828.8872927924. The cubic root of 117264800 is about 489.4660294588.

The spelling of 117264800 in words is "one hundred seventeen million, two hundred sixty-four thousand, eight hundred".