117520320 has 224 divisors, whose sum is σ = 416966400. Its totient is φ = 27869184.

The previous prime is 117520283. The next prime is 117520327. The reversal of 117520320 is 23025711.

It is a super-2 number, since 2×117520320² = 27622051225804800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117520327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309891 + ... + 310269.

Almost surely, 2^117520320 is an apocalyptic number.

117520320 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 117520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208483200).

117520320 is an abundant number, since it is smaller than the sum of its proper divisors (299446080).

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

117520320 is a wasteful number, since it uses less digits than its factorization.

117520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 117520320 is about 10840.6789455274. The cubic root of 117520320 is about 489.8212870420.

The spelling of 117520320 in words is "one hundred seventeen million, five hundred twenty thousand, three hundred twenty".