117166920 has 256 divisors, whose sum is σ = 411264000. Its totient is φ = 26459136.

The previous prime is 117166913. The next prime is 117166927. The reversal of 117166920 is 29661711.

It is an interprime number because it is at equal distance from previous prime (117166913) and next prime (117166927).

It is not an unprimeable number, because it can be changed into a prime (117166927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1748727 + ... + 1748793.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^117166920 is an apocalyptic number.

117166920 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 117166920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000).

117166920 is an abundant number, since it is smaller than the sum of its proper divisors (294097080).

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

117166920 is a wasteful number, since it uses less digits than its factorization.

117166920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 117166920 is about 10824.3669560857. The cubic root of 117166920 is about 489.3298070775.

The spelling of 117166920 in words is "one hundred seventeen million, one hundred sixty-six thousand, nine hundred twenty".