117025920 has 192 divisors, whose sum is σ = 441080640. Its totient is φ = 28354560.

The previous prime is 117025913. The next prime is 117025949. The reversal of 117025920 is 29520711.

117025920 is a `hidden beast` number, since 1 + 1 + 70 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 62437 + ... + 64283.

It is an arithmetic number, because the mean of its divisors is an integer number (2297295).

Almost surely, 2^117025920 is an apocalyptic number.

117025920 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 117025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220540320).

117025920 is an abundant number, since it is smaller than the sum of its proper divisors (324054720).

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

117025920 is a wasteful number, since it uses less digits than its factorization.

117025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 117025920 is about 10817.8519124640. The cubic root of 117025920 is about 489.1334399403.

The spelling of 117025920 in words is "one hundred seventeen million, twenty-five thousand, nine hundred twenty".