900086880 has 480 divisors, whose sum is σ = 3659136768. Its totient is φ = 184396800.

The previous prime is 900086857. The next prime is 900086881. The reversal of 900086880 is 88680009.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900086881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12677245 + ... + 12677315.

Almost surely, 2^900086880 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 900086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829568384).

900086880 is an abundant number, since it is smaller than the sum of its proper divisors (2759049888).

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

900086880 is a wasteful number, since it uses less digits than its factorization.

900086880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 900086880 is about 30001.4479650566. The cubic root of 900086880 is about 965.5204509089.

The spelling of 900086880 in words is "nine hundred million, eighty-six thousand, eight hundred eighty".