117624960 has 160 divisors (see below), whose sum is σ = 420245100. Its totient is φ = 31352832.

The previous prime is 117624959. The next prime is 117625021. The reversal of 117624960 is 69426711.

It can be written as a sum of positive squares in 2 ways, for example, as 103063104 + 14561856 = 10152^2 + 3816^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50706 + ... + 52974.

Almost surely, 2^117624960 is an apocalyptic number.

117624960 is a gapful number since it is divisible by the number (10) 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 117624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210122550).

117624960 is an abundant number, since it is smaller than the sum of its proper divisors (302620140).

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

117624960 is an equidigital number, since it uses as much as digits as its factorization.

117624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 117624960 is about 10845.5041376600. The cubic root of 117624960 is about 489.9666227439.

The spelling of 117624960 in words is "one hundred seventeen million, six hundred twenty-four thousand, nine hundred sixty".