900360 has 96 divisors (see below), whose sum is σ = 3046680. Its totient is φ = 230400.

The previous prime is 900349. The next prime is 900397. The reversal of 900360 is 63009.

900360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 224676 + 675684 = 474^2 + 822^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

900360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14730 + ... + 14790.

2⁹⁰⁰³⁶⁰ is an apocalyptic number.

900360 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523340).

900360 is an abundant number, since it is smaller than the sum of its proper divisors (2146320).

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

900360 is a wasteful number, since it uses less digits than its factorization.

900360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 900360 is about 948.8730157403. The cubic root of 900360 is about 96.5618099363.

Adding to 900360 its reverse (63009), we get a palindrome (963369).

The spelling of 900360 in words is "nine hundred thousand, three hundred sixty".