117624 has 48 divisors (see below), whose sum is σ = 329400. Its totient is φ = 34944.

The previous prime is 117619. The next prime is 117643. The reversal of 117624 is 426711.

117624 is a Rhonda number in base 9.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 117624.

It is a congruent number.

It is an unprimeable number.

117624 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4042 + ... + 4070.

117624 is a Friedman number, since it can be written as 7^6-(4+1*1)^2, using all its digits and the basic arithmetic operations.

2¹¹⁷⁶²⁴ 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 117624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164700).

117624 is an abundant number, since it is smaller than the sum of its proper divisors (211776).

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

117624 is a wasteful number, since it uses less digits than its factorization.

117624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 47 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 117624 is about 342.9635549151. The cubic root of 117624 is about 48.9965289781.

It can be divided in two parts, 1176 and 24, that multiplied together give a square (28224 = 168²).

The spelling of 117624 in words is "one hundred seventeen thousand, six hundred twenty-four".