900132864 has 208 divisors, whose sum is σ = 2642088960. Its totient is φ = 271319040.

The previous prime is 900132859. The next prime is 900132887. The reversal of 900132864 is 468231009.

It is a congruent number.

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, 6475707 + ... + 6475845.

Almost surely, 2^900132864 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 900132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321044480).

900132864 is an abundant number, since it is smaller than the sum of its proper divisors (1741956096).

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

900132864 is a wasteful number, since it uses less digits than its factorization.

900132864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 900132864 is about 30002.2143182799. The cubic root of 900132864 is about 965.5368929277.

The spelling of 900132864 in words is "nine hundred million, one hundred thirty-two thousand, eight hundred sixty-four".