900085968 has 30 divisors (see below), whose sum is σ = 2518990994. Its totient is φ = 300028608.

The previous prime is 900085951. The next prime is 900085987. The reversal of 900085968 is 869580009.

It can be written as a sum of positive squares in only one way, i.e., 744634944 + 155451024 = 27288^2 + 12468^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3125155 + ... + 3125442.

Almost surely, 2^900085968 is an apocalyptic number.

It is an amenable number.

900085968 is an abundant number, since it is smaller than the sum of its proper divisors (1618905026).

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

900085968 is a wasteful number, since it uses less digits than its factorization.

900085968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6250611 (or 6250602 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 900085968 is about 30001.4327657864. The cubic root of 900085968 is about 965.5201248089.

The spelling of 900085968 in words is "nine hundred million, eighty-five thousand, nine hundred sixty-eight".