204132624 has 40 divisors (see below), whose sum is σ = 545530560. Its totient is φ = 65697408.

The previous prime is 204132623. The next prime is 204132671. The reversal of 204132624 is 426231402.

It is a super-2 number, since 2×204132624² = 83340256362250752, which contains 22 as substring.

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 = 204132594 and 204132603.

It is not an unprimeable number, because it can be changed into a prime (204132623) 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, 71932 + ... + 74715.

It is an arithmetic number, because the mean of its divisors is an integer number (13638264).

Almost surely, 2^204132624 is an apocalyptic number.

204132624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204132624 is an abundant number, since it is smaller than the sum of its proper divisors (341397936).

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

204132624 is a wasteful number, since it uses less digits than its factorization.

204132624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146687 (or 146681 counting only the distinct ones).

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

The square root of 204132624 is about 14287.4988713910. The cubic root of 204132624 is about 588.8040737204.

The spelling of 204132624 in words is "two hundred four million, one hundred thirty-two thousand, six hundred twenty-four".