117624288 has 96 divisors (see below), whose sum is σ = 330825600. Its totient is φ = 36481536.

The previous prime is 117624281. The next prime is 117624313. The reversal of 117624288 is 882426711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117624281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107070 + ... + 108162.

It is an arithmetic number, because the mean of its divisors is an integer number (3446100).

Almost surely, 2^117624288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117624288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165412800).

117624288 is an abundant number, since it is smaller than the sum of its proper divisors (213201312).

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

117624288 is a wasteful number, since it uses less digits than its factorization.

117624288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1176 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 117624288 is about 10845.4731570365. The cubic root of 117624288 is about 489.9656896704.

The spelling of 117624288 in words is "one hundred seventeen million, six hundred twenty-four thousand, two hundred eighty-eight".