900890624 has 64 divisors (see below), whose sum is σ = 1897893600. Its totient is φ = 426442752.

The previous prime is 900890623. The next prime is 900890677. The reversal of 900890624 is 426098009.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×900890624² = 1623207832822218752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (900890623) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 621869 + ... + 623315.

Almost surely, 2^900890624 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 900890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948946800).

900890624 is an abundant number, since it is smaller than the sum of its proper divisors (997002976).

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

900890624 is an equidigital number, since it uses as much as digits as its factorization.

900890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 900890624 is about 30014.8400628756. The cubic root of 900890624 is about 965.8077566539.

The spelling of 900890624 in words is "nine hundred million, eight hundred ninety thousand, six hundred twenty-four".