900901920 has 96 divisors (see below), whose sum is σ = 2872158912. Its totient is φ = 237335552.

The previous prime is 900901913. The next prime is 900901931. The reversal of 900901920 is 29109009.

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 (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28534 + ... + 51146.

It is an arithmetic number, because the mean of its divisors is an integer number (29918322).

Almost surely, 2^900901920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900901920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436079456).

900901920 is an abundant number, since it is smaller than the sum of its proper divisors (1971256992).

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

900901920 is a wasteful number, since it uses less digits than its factorization.

900901920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22714 (or 22706 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 900901920 is about 30015.0282358688. The cubic root of 900901920 is about 965.8117932959.

The spelling of 900901920 in words is "nine hundred million, nine hundred one thousand, nine hundred twenty".