204033120 has 96 divisors (see below), whose sum is σ = 647958528. Its totient is φ = 53964288.

The previous prime is 204033113. The next prime is 204033127. The reversal of 204033120 is 21330402.

It is an interprime number because it is at equal distance from previous prime (204033113) and next prime (204033127).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 204033120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204033127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59287 + ... + 62633.

It is an arithmetic number, because the mean of its divisors is an integer number (6749568).

Almost surely, 2^204033120 is an apocalyptic number.

204033120 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 204033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323979264).

204033120 is an abundant number, since it is smaller than the sum of its proper divisors (443925408).

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

204033120 is a wasteful number, since it uses less digits than its factorization.

204033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 204033120 is about 14284.0162419398. The cubic root of 204033120 is about 588.7083877532.

Adding to 204033120 its reverse (21330402), we get a palindrome (225363522).

The spelling of 204033120 in words is "two hundred four million, thirty-three thousand, one hundred twenty".