117305920 has 56 divisors (see below), whose sum is σ = 286179768. Its totient is φ = 45772800.

The previous prime is 117305917. The next prime is 117305921. The reversal of 117305920 is 29503711.

It can be written as a sum of positive squares in 4 ways, for example, as 1700416 + 115605504 = 1304^2 + 10752^2 .

It is not an unprimeable number, because it can be changed into a prime (117305921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8650 + ... + 17590.

It is an arithmetic number, because the mean of its divisors is an integer number (5110353).

Almost surely, 2^117305920 is an apocalyptic number.

117305920 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 117305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143089884).

117305920 is an abundant number, since it is smaller than the sum of its proper divisors (168873848).

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

117305920 is an equidigital number, since it uses as much as digits as its factorization.

117305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8999 (or 8989 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 117305920 is about 10830.7857517357. The cubic root of 117305920 is about 489.5232347214.

The spelling of 117305920 in words is "one hundred seventeen million, three hundred five thousand, nine hundred twenty".