204961680 has 240 divisors, whose sum is σ = 858409344. Its totient is φ = 42577920.

The previous prime is 204961667. The next prime is 204961699. The reversal of 204961680 is 86169402.

204961680 is a `hidden beast` number, since 2 + 0 + 496 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53592 + ... + 57288.

Almost surely, 2^204961680 is an apocalyptic number.

204961680 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 204961680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429204672).

204961680 is an abundant number, since it is smaller than the sum of its proper divisors (653447664).

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

204961680 is a wasteful number, since it uses less digits than its factorization.

204961680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 204961680 is about 14316.4828082878. The cubic root of 204961680 is about 589.6001120584.

The spelling of 204961680 in words is "two hundred four million, nine hundred sixty-one thousand, six hundred eighty".