624624 has 120 divisors (see below), whose sum is σ = 2178432. Its totient is φ = 149760.

The previous prime is 624607. The next prime is 624643. The reversal of 624624 is 426426.

624624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2304) is a multiple of the sum of its prime divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 624594 and 624603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48042 + ... + 48054.

2⁶²⁴⁶²⁴ 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 624624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089216).

624624 is an abundant number, since it is smaller than the sum of its proper divisors (1553808).

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

624624 is a wasteful number, since it uses less digits than its factorization.

624624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 36 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 624624 is about 790.3315759857. The cubic root of 624624 is about 85.4816485356.

The spelling of 624624 in words is "six hundred twenty-four thousand, six hundred twenty-four".