901088864 has 48 divisors (see below), whose sum is σ = 1921313520. Its totient is φ = 413529600.

The previous prime is 901088833. The next prime is 901088879. The reversal of 901088864 is 468880109.

It is a happy number.

It is a super-2 number, since 2×901088864² = 1623922281649620992, 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, 68414 + ... + 80514.

It is an arithmetic number, because the mean of its divisors is an integer number (40027365).

Almost surely, 2^901088864 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 901088864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960656760).

901088864 is an abundant number, since it is smaller than the sum of its proper divisors (1020224656).

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

901088864 is a wasteful number, since it uses less digits than its factorization.

901088864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12303 (or 12295 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 901088864 is about 30018.1422476475. The cubic root of 901088864 is about 965.8785931064.

The spelling of 901088864 in words is "nine hundred one million, eighty-eight thousand, eight hundred sixty-four".