900088320 has 160 divisors (see below), whose sum is σ = 2895564672. Its totient is φ = 238518272.

The previous prime is 900088313. The next prime is 900088333. The reversal of 900088320 is 23880009.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1789189 + ... + 1789691.

Almost surely, 2^900088320 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 900088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447782336).

900088320 is an abundant number, since it is smaller than the sum of its proper divisors (1995476352).

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

900088320 is a wasteful number, since it uses less digits than its factorization.

900088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 900088320 is about 30001.4719638887. The cubic root of 900088320 is about 965.5209658031.

The spelling of 900088320 in words is "nine hundred million, eighty-eight thousand, three hundred twenty".