117804960 has 576 divisors, whose sum is σ = 528353280. Its totient is φ = 23224320.

The previous prime is 117804923. The next prime is 117804979. The reversal of 117804960 is 69408711.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3800145 + ... + 3800175.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 2^117804960 is an apocalyptic number.

117804960 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 117804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

117804960 is an abundant number, since it is smaller than the sum of its proper divisors (410548320).

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

117804960 is a wasteful number, since it uses less digits than its factorization.

117804960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 117804960 is about 10853.7993347952. The cubic root of 117804960 is about 490.2164252884.

The spelling of 117804960 in words is "one hundred seventeen million, eight hundred four thousand, nine hundred sixty".