204688040 has 64 divisors (see below), whose sum is σ = 496143360. Its totient is φ = 75778560.

The previous prime is 204688027. The next prime is 204688049. The reversal of 204688040 is 40886402.

It is a junction number, because it is equal to n+sod(n) for n = 204687988 and 204688006.

It is not an unprimeable number, because it can be changed into a prime (204688049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24932 + ... + 32108.

It is an arithmetic number, because the mean of its divisors is an integer number (7752240).

Almost surely, 2^204688040 is an apocalyptic number.

204688040 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 204688040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248071680).

204688040 is an abundant number, since it is smaller than the sum of its proper divisors (291455320).

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

204688040 is a wasteful number, since it uses less digits than its factorization.

204688040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7242 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 204688040 is about 14306.9227998197. The cubic root of 204688040 is about 589.3376076597.

The spelling of 204688040 in words is "two hundred four million, six hundred eighty-eight thousand, forty".