204021888 has 128 divisors (see below), whose sum is σ = 632400000. Its totient is φ = 58254336.

The previous prime is 204021887. The next prime is 204021893. The reversal of 204021888 is 888120402.

204021888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (204021887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130938 + ... + 132486.

It is an arithmetic number, because the mean of its divisors is an integer number (4940625).

Almost surely, 2^204021888 is an apocalyptic number.

204021888 is a gapful number since it is divisible by the number (28) 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 204021888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316200000).

204021888 is an abundant number, since it is smaller than the sum of its proper divisors (428378112).

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

204021888 is an equidigital number, since it uses as much as digits as its factorization.

204021888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 204021888 is about 14283.6230697957. The cubic root of 204021888 is about 588.6975847784.

The spelling of 204021888 in words is "two hundred four million, twenty-one thousand, eight hundred eighty-eight".