204620624 has 40 divisors (see below), whose sum is σ = 431139072. Its totient is φ = 93513600.

The previous prime is 204620623. The next prime is 204620629. The reversal of 204620624 is 426026402.

204620624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204620624² = 83739199532298752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 204620593 and 204620602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204620623) 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, 16649 + ... + 26199.

Almost surely, 2^204620624 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 204620624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215569536).

204620624 is an abundant number, since it is smaller than the sum of its proper divisors (226518448).

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

204620624 is a wasteful number, since it uses less digits than its factorization.

204620624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9675 (or 9669 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 204620624 is about 14304.5665435902. The cubic root of 204620624 is about 589.2728991943.

The spelling of 204620624 in words is "two hundred four million, six hundred twenty thousand, six hundred twenty-four".