900816 has 60 divisors (see below), whose sum is σ = 2714112. Its totient is φ = 256704.

The previous prime is 900803. The next prime is 900817. The reversal of 900816 is 618009.

It is a super-2 number, since 2×900816² = 1622938931712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900817) 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, 2161 + ... + 2543.

2⁹⁰⁰⁸¹⁶ 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 900816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357056).

900816 is an abundant number, since it is smaller than the sum of its proper divisors (1813296).

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

900816 is a wasteful number, since it uses less digits than its factorization.

900816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 900816 is about 949.1132703740. The cubic root of 900816 is about 96.5781088811.

The spelling of 900816 in words is "nine hundred thousand, eight hundred sixteen".