900832864 has 48 divisors (see below), whose sum is σ = 1889455680. Its totient is φ = 421545600.

The previous prime is 900832847. The next prime is 900832901. The reversal of 900832864 is 468238009.

900832864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×900832864² = 1622999697724884992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41539 + ... + 59389.

It is an arithmetic number, because the mean of its divisors is an integer number (39363660).

Almost surely, 2^900832864 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 900832864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944727840).

900832864 is an abundant number, since it is smaller than the sum of its proper divisors (988622816).

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

900832864 is a wasteful number, since it uses less digits than its factorization.

900832864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17963 (or 17955 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 900832864 is about 30013.8778567515. The cubic root of 900832864 is about 965.7871155065.

The spelling of 900832864 in words is "nine hundred million, eight hundred thirty-two thousand, eight hundred sixty-four".