204673680 has 60 divisors (see below), whose sum is σ = 687364860. Its totient is φ = 54579456.

The previous prime is 204673661. The next prime is 204673699. The reversal of 204673680 is 86376402.

It is an interprime number because it is at equal distance from previous prime (204673661) and next prime (204673699).

It can be written as a sum of positive squares in 2 ways, for example, as 114575616 + 90098064 = 10704^2 + 9492^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141415 + ... + 142854.

It is an arithmetic number, because the mean of its divisors is an integer number (11456081).

Almost surely, 2^204673680 is an apocalyptic number.

204673680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204673680 is an abundant number, since it is smaller than the sum of its proper divisors (482691180).

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

204673680 is a wasteful number, since it uses less digits than its factorization.

204673680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284288 (or 284279 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 204673680 is about 14306.4209360692. The cubic root of 204673680 is about 589.3238255714.

The spelling of 204673680 in words is "two hundred four million, six hundred seventy-three thousand, six hundred eighty".