204920160 has 48 divisors (see below), whose sum is σ = 645500016. Its totient is φ = 54645248.

The previous prime is 204920123. The next prime is 204920201. The reversal of 204920160 is 61029402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 204920160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212979 + ... + 213938.

It is an arithmetic number, because the mean of its divisors is an integer number (13447917).

Almost surely, 2^204920160 is an apocalyptic number.

204920160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204920160 is an abundant number, since it is smaller than the sum of its proper divisors (440579856).

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

204920160 is a wasteful number, since it uses less digits than its factorization.

204920160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426935 (or 426927 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 204920160 is about 14315.0326580137. The cubic root of 204920160 is about 589.5602967299.

Adding to 204920160 its reverse (61029402), we get a palindrome (265949562).

The spelling of 204920160 in words is "two hundred four million, nine hundred twenty thousand, one hundred sixty".