117961920 has 336 divisors, whose sum is σ = 442679328. Its totient is φ = 29859840.

The previous prime is 117961919. The next prime is 117961939. The reversal of 117961920 is 29169711.

117961920 is a `hidden beast` number, since 1 + 17 + 9 + 619 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2877100 + ... + 2877140.

It is an arithmetic number, because the mean of its divisors is an integer number (1317498).

Almost surely, 2^117961920 is an apocalyptic number.

117961920 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 117961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221339664).

117961920 is an abundant number, since it is smaller than the sum of its proper divisors (324717408).

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

117961920 is an equidigital number, since it uses as much as digits as its factorization.

117961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 117961920 is about 10861.0275756947. The cubic root of 117961920 is about 490.4340455044.

The spelling of 117961920 in words is "one hundred seventeen million, nine hundred sixty-one thousand, nine hundred twenty".