201604920 has 128 divisors (see below), whose sum is σ = 664554240. Its totient is φ = 48522240.

The previous prime is 201604901. The next prime is 201604961. The reversal of 201604920 is 29406102.

201604920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214692 + ... + 215628.

It is an arithmetic number, because the mean of its divisors is an integer number (5191830).

Almost surely, 2^201604920 is an apocalyptic number.

201604920 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 201604920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332277120).

201604920 is an abundant number, since it is smaller than the sum of its proper divisors (462949320).

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

201604920 is a wasteful number, since it uses less digits than its factorization.

201604920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1121 counting only the distinct ones).

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

The square root of 201604920 is about 14198.7647350042. The cubic root of 201604920 is about 586.3636534955.

The spelling of 201604920 in words is "two hundred one million, six hundred four thousand, nine hundred twenty".