117823920 has 80 divisors (see below), whose sum is σ = 367238400. Its totient is φ = 31249152.

The previous prime is 117823919. The next prime is 117823931. The reversal of 117823920 is 29328711.

117823920 = T₁₇₃ + T₁₇₄ + ... + T₈₉₂.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×117823920² = 27764952248332800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 46527 + ... + 48993.

It is an arithmetic number, because the mean of its divisors is an integer number (4590480).

Almost surely, 2^117823920 is an apocalyptic number.

117823920 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 117823920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183619200).

117823920 is an abundant number, since it is smaller than the sum of its proper divisors (249414480).

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

117823920 is a wasteful number, since it uses less digits than its factorization.

117823920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 117823920 is about 10854.6727265266. The cubic root of 117823920 is about 490.2427230063.

The spelling of 117823920 in words is "one hundred seventeen million, eight hundred twenty-three thousand, nine hundred twenty".