117984000 has 144 divisors (see below), whose sum is σ = 392202720. Its totient is φ = 31436800.

The previous prime is 117983993. The next prime is 117984049. The reversal of 117984000 is 489711.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95386 + ... + 96614.

It is an arithmetic number, because the mean of its divisors is an integer number (2723630).

Almost surely, 2^117984000 is an apocalyptic number.

117984000 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 117984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196101360).

117984000 is an abundant number, since it is smaller than the sum of its proper divisors (274218720).

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

117984000 is an equidigital number, since it uses as much as digits as its factorization.

117984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 117984000 is about 10862.0440065395. The cubic root of 117984000 is about 490.4646432548.

The spelling of 117984000 in words is "one hundred seventeen million, nine hundred eighty-four thousand".