204165120 has 104 divisors (see below), whose sum is σ = 653445216. Its totient is φ = 54427648.

The previous prime is 204165119. The next prime is 204165139. The reversal of 204165120 is 21561402.

204165120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204165120² = 83366792449228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 59779 + ... + 63101.

Almost surely, 2^204165120 is an apocalyptic number.

204165120 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 204165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326722608).

204165120 is an abundant number, since it is smaller than the sum of its proper divisors (449280096).

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

204165120 is an equidigital number, since it uses as much as digits as its factorization.

204165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 204165120 is about 14288.6360440736. The cubic root of 204165120 is about 588.8353160922.

It can be divided in two parts, 2041 and 65120, that added together give a triangular number (67161 = T₃₆₆).

The spelling of 204165120 in words is "two hundred four million, one hundred sixty-five thousand, one hundred twenty".