117883584 has 252 divisors, whose sum is σ = 420569136. Its totient is φ = 30910464.

The previous prime is 117883561. The next prime is 117883589. The reversal of 117883584 is 485388711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

Its product of digits (215040) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (117883589) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 681322 + ... + 681494.

Almost surely, 2^117883584 is an apocalyptic number.

117883584 is a gapful number since it is divisible by the number (14) 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 117883584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210284568).

117883584 is an abundant number, since it is smaller than the sum of its proper divisors (302685552).

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

117883584 is a wasteful number, since it uses less digits than its factorization.

117883584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 117883584 is about 10857.4206881745. The cubic root of 117883584 is about 490.3254591944.

The spelling of 117883584 in words is "one hundred seventeen million, eight hundred eighty-three thousand, five hundred eighty-four".