204960720 has 80 divisors (see below), whose sum is σ = 637459200. Its totient is φ = 54477312.

The previous prime is 204960689. The next prime is 204960731. The reversal of 204960720 is 27069402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82537 + ... + 84983.

It is an arithmetic number, because the mean of its divisors is an integer number (7968240).

Almost surely, 2^204960720 is an apocalyptic number.

204960720 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 204960720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318729600).

204960720 is an abundant number, since it is smaller than the sum of its proper divisors (432498480).

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

204960720 is a wasteful number, since it uses less digits than its factorization.

204960720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 204960720 is about 14316.4492804606. The cubic root of 204960720 is about 589.5991915335.

The spelling of 204960720 in words is "two hundred four million, nine hundred sixty thousand, seven hundred twenty".