117892320 has 192 divisors, whose sum is σ = 457228800. Its totient is φ = 24864768.

The previous prime is 117892303. The next prime is 117892339. The reversal of 117892320 is 23298711.

It is a super-2 number, since 2×117892320² = 27797198229964800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42331 + ... + 45029.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^117892320 is an apocalyptic number.

117892320 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 117892320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228614400).

117892320 is an abundant number, since it is smaller than the sum of its proper divisors (339336480).

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

117892320 is a wasteful number, since it uses less digits than its factorization.

117892320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 117892320 is about 10857.8229862160. The cubic root of 117892320 is about 490.3375710798.

The spelling of 117892320 in words is "one hundred seventeen million, eight hundred ninety-two thousand, three hundred twenty".