117920 has 48 divisors (see below), whose sum is σ = 308448. Its totient is φ = 42240.

The previous prime is 117917. The next prime is 117937. The reversal of 117920 is 29711.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 117892 and 117901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1727 + ... + 1793.

It is an arithmetic number, because the mean of its divisors is an integer number (6426).

2¹¹⁷⁹²⁰ is an apocalyptic number.

117920 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 117920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224).

117920 is an abundant number, since it is smaller than the sum of its proper divisors (190528).

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

117920 is a wasteful number, since it uses less digits than its factorization.

117920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 117920 is about 343.3948165014. The cubic root of 117920 is about 49.0375943616.

Subtracting from 117920 its reverse (29711), we obtain a square (88209 = 297²).

The spelling of 117920 in words is "one hundred seventeen thousand, nine hundred twenty".