204123624 has 64 divisors (see below), whose sum is σ = 541857600. Its totient is φ = 63857664.

The previous prime is 204123583. The next prime is 204123659. The reversal of 204123624 is 426321402.

204123624 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 junction number, because it is equal to n+sod(n) for n = 204123594 and 204123603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275847 + ... + 276585.

It is an arithmetic number, because the mean of its divisors is an integer number (8466525).

Almost surely, 2^204123624 is an apocalyptic number.

204123624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204123624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270928800).

204123624 is an abundant number, since it is smaller than the sum of its proper divisors (337733976).

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

204123624 is a wasteful number, since it uses less digits than its factorization.

204123624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1438 counting only the distinct ones).

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

The square root of 204123624 is about 14287.1839072646. The cubic root of 204123624 is about 588.7954203355.

The spelling of 204123624 in words is "two hundred four million, one hundred twenty-three thousand, six hundred twenty-four".