204268680 has 192 divisors, whose sum is σ = 827798400. Its totient is φ = 42439680.

The previous prime is 204268667. The next prime is 204268697. The reversal of 204268680 is 86862402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24036 + ... + 31404.

It is an arithmetic number, because the mean of its divisors is an integer number (4311450).

Almost surely, 2^204268680 is an apocalyptic number.

204268680 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 204268680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413899200).

204268680 is an abundant number, since it is smaller than the sum of its proper divisors (623529720).

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

204268680 is a wasteful number, since it uses less digits than its factorization.

204268680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7404 (or 7397 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 204268680 is about 14292.2594434890. The cubic root of 204268680 is about 588.9348588509.

The spelling of 204268680 in words is "two hundred four million, two hundred sixty-eight thousand, six hundred eighty".