900864 has 108 divisors (see below), whose sum is σ = 2869776. Its totient is φ = 270336.

The previous prime is 900863. The next prime is 900869. The reversal of 900864 is 468009.

900864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39157 + ... + 39179.

It is an arithmetic number, because the mean of its divisors is an integer number (26572).

2⁹⁰⁰⁸⁶⁴ 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 900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434888).

900864 is an abundant number, since it is smaller than the sum of its proper divisors (1968912).

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

900864 is a wasteful number, since it uses less digits than its factorization.

900864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 900864 is about 949.1385567977. The cubic root of 900864 is about 96.5798242395.

It can be divided in two parts, 900 and 864, that added together give a square (1764 = 42²).

The spelling of 900864 in words is "nine hundred thousand, eight hundred sixty-four".