204961920 has 64 divisors (see below), whose sum is σ = 653322240. Its totient is φ = 54656000.

The previous prime is 204961919. The next prime is 204961931. The reversal of 204961920 is 29169402.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51456 + ... + 55295.

It is an arithmetic number, because the mean of its divisors is an integer number (10208160).

Almost surely, 2^204961920 is an apocalyptic number.

204961920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204961920 is an abundant number, since it is smaller than the sum of its proper divisors (448360320).

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

204961920 is a wasteful number, since it uses less digits than its factorization.

204961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106773 (or 106761 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 204961920 is about 14316.4911902323. The cubic root of 204961920 is about 589.6003421892.

The spelling of 204961920 in words is "two hundred four million, nine hundred sixty-one thousand, nine hundred twenty".