900091656 has 96 divisors (see below), whose sum is σ = 2656164000. Its totient is φ = 282362112.

The previous prime is 900091631. The next prime is 900091657. The reversal of 900091656 is 656190009.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 900091656.

It is not an unprimeable number, because it can be changed into a prime (900091657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55215 + ... + 69633.

It is an arithmetic number, because the mean of its divisors is an integer number (27668375).

Almost surely, 2^900091656 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 900091656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328082000).

900091656 is an abundant number, since it is smaller than the sum of its proper divisors (1756072344).

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

900091656 is a wasteful number, since it uses less digits than its factorization.

900091656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14468 (or 14441 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 900091656 is about 30001.5275611093. The cubic root of 900091656 is about 965.5221586394.

The spelling of 900091656 in words is "nine hundred million, ninety-one thousand, six hundred fifty-six".