108624 has 40 divisors (see below), whose sum is σ = 293632. Its totient is φ = 34560.

The previous prime is 108587. The next prime is 108631. The reversal of 108624 is 426801.

108624 = 7⁵ + 8⁵ + 9⁵.

It is a self number, because there is not a number n which added to its sum of digits gives 108624.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108624.

It is an unprimeable number.

108624 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 7 ways as a sum of consecutive naturals, for example, 1452 + ... + 1524.

2¹⁰⁸⁶²⁴ 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 108624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146816).

108624 is an abundant number, since it is smaller than the sum of its proper divisors (185008).

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

108624 is a wasteful number, since it uses less digits than its factorization.

108624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 108624 is about 329.5815528818. The cubic root of 108624 is about 47.7135719899.

The spelling of 108624 in words is "one hundred eight thousand, six hundred twenty-four".