117724320 has 384 divisors, whose sum is σ = 500774400. Its totient is φ = 25214976.

The previous prime is 117724307. The next prime is 117724333. The reversal of 117724320 is 23427711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (117724307) and next prime (117724333).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513966 + ... + 514194.

It is an arithmetic number, because the mean of its divisors is an integer number (1304100).

Almost surely, 2^117724320 is an apocalyptic number.

117724320 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 117724320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250387200).

117724320 is an abundant number, since it is smaller than the sum of its proper divisors (383050080).

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

117724320 is a wasteful number, since it uses less digits than its factorization.

117724320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 117724320 is about 10850.0838706436. The cubic root of 117724320 is about 490.1045452342.

The spelling of 117724320 in words is "one hundred seventeen million, seven hundred twenty-four thousand, three hundred twenty".