99624 has 32 divisors (see below), whose sum is σ = 285120. Its totient is φ = 28416.

The previous prime is 99623. The next prime is 99643. The reversal of 99624 is 42699.

It is a junction number, because it is equal to n+sod(n) for n = 99591 and 99600.

It is not an unprimeable number, because it can be changed into a prime (99623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (8910).

2⁹⁹⁶²⁴ is an apocalyptic number.

It is an amenable number.

99624 is an abundant number, since it is smaller than the sum of its proper divisors (185496).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142560).

99624 is a wasteful number, since it uses less digits than its factorization.

99624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 605 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 99624 is about 315.6326979259. The cubic root of 99624 is about 46.3576406913.

It can be divided in two parts, 99 and 624, that multiplied together give a triangular number (61776 = T₃₅₁).

The spelling of 99624 in words is "ninety-nine thousand, six hundred twenty-four".