900896 has 24 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 440128.

The previous prime is 900869. The next prime is 900917. The reversal of 900896 is 698009.

It is a happy number.

It is a super-2 number, since 2×900896² = 1623227205632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

900896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1205 + ... + 1803.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

2⁹⁰⁰⁸⁹⁶ 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 900896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

900896 is an abundant number, since it is smaller than the sum of its proper divisors (913504).

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

900896 is a wasteful number, since it uses less digits than its factorization.

900896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 900896 is about 949.1554140392. The cubic root of 900896 is about 96.5809677779.

The spelling of 900896 in words is "nine hundred thousand, eight hundred ninety-six".