900891264 has 384 divisors, whose sum is σ = 3125606400. Its totient is φ = 227598336.

The previous prime is 900891241. The next prime is 900891287. The reversal of 900891264 is 462198009.

It is an interprime number because it is at equal distance from previous prime (900891241) and next prime (900891287).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7093569 + ... + 7093695.

It is an arithmetic number, because the mean of its divisors is an integer number (8139600).

Almost surely, 2^900891264 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 900891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562803200).

900891264 is an abundant number, since it is smaller than the sum of its proper divisors (2224715136).

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

900891264 is a wasteful number, since it uses less digits than its factorization.

900891264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 900891264 is about 30014.8507242665. The cubic root of 900891264 is about 965.8079853597.

The spelling of 900891264 in words is "nine hundred million, eight hundred ninety-one thousand, two hundred sixty-four".