118624 has 24 divisors (see below), whose sum is σ = 255528. Its totient is φ = 53760.

The previous prime is 118621. The next prime is 118633. The reversal of 118624 is 426811.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 118595 and 118604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 184 + ... + 520.

It is an arithmetic number, because the mean of its divisors is an integer number (10647).

2¹¹⁸⁶²⁴ 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 118624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127764).

118624 is an abundant number, since it is smaller than the sum of its proper divisors (136904).

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

118624 is a wasteful number, since it uses less digits than its factorization.

118624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 118624 is about 344.4183502661. The cubic root of 118624 is about 49.1349880521.

It can be divided in two parts, 11 and 8624, that multiplied together give a square (94864 = 308²).

The spelling of 118624 in words is "one hundred eighteen thousand, six hundred twenty-four".