204013600 has 144 divisors (see below), whose sum is σ = 602961408. Its totient is φ = 65802240.

The previous prime is 204013591. The next prime is 204013603. The reversal of 204013600 is 6310402.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (204013603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94129 + ... + 96271.

It is an arithmetic number, because the mean of its divisors is an integer number (4187232).

Almost surely, 2^204013600 is an apocalyptic number.

204013600 is a gapful number since it is divisible by the number (20) 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 204013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301480704).

204013600 is an abundant number, since it is smaller than the sum of its proper divisors (398947808).

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

204013600 is a wasteful number, since it uses less digits than its factorization.

204013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 204013600 is about 14283.3329443796. The cubic root of 204013600 is about 588.6896130983.

The spelling of 204013600 in words is "two hundred four million, thirteen thousand, six hundred".