900564 has 48 divisors (see below), whose sum is σ = 2451456. Its totient is φ = 252000.

The previous prime is 900563. The next prime is 900569. The reversal of 900564 is 465009.

It is a super-2 number, since 2×900564² = 1622031036192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5889 + ... + 6039.

It is an arithmetic number, because the mean of its divisors is an integer number (51072).

2⁹⁰⁰⁵⁶⁴ 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 900564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225728).

900564 is an abundant number, since it is smaller than the sum of its proper divisors (1550892).

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

900564 is a wasteful number, since it uses less digits than its factorization.

900564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 900564 is about 948.9805055953. The cubic root of 900564 is about 96.5691022496.

The spelling of 900564 in words is "nine hundred thousand, five hundred sixty-four".