117001920 has 224 divisors, whose sum is σ = 443593728. Its totient is φ = 25546752.

The previous prime is 117001903. The next prime is 117001933. The reversal of 117001920 is 29100711.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 154182 + ... + 154938.

Almost surely, 2^117001920 is an apocalyptic number.

117001920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

117001920 is the 8832-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221796864).

117001920 is an abundant number, since it is smaller than the sum of its proper divisors (326591808).

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

117001920 is a wasteful number, since it uses less digits than its factorization.

117001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 117001920 is about 10816.7425780593. The cubic root of 117001920 is about 489.1000000404.

The spelling of 117001920 in words is "one hundred seventeen million, one thousand, nine hundred twenty".