900168 has 16 divisors (see below), whose sum is σ = 2250480. Its totient is φ = 300048.

The previous prime is 900161. The next prime is 900169. The reversal of 900168 is 861009.

900168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 37507 = 900168 / (9 + 0 + 0 + 1 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (900161) by changing a digit.

900168 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 3 ways as a sum of consecutive naturals, for example, 18730 + ... + 18777.

It is an arithmetic number, because the mean of its divisors is an integer number (140655).

2⁹⁰⁰¹⁶⁸ is an apocalyptic number.

It is an amenable number.

900168 is an abundant number, since it is smaller than the sum of its proper divisors (1350312).

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

900168 is a wasteful number, since it uses less digits than its factorization.

900168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37516 (or 37512 counting only the distinct ones).

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

The square root of 900168 is about 948.7718376933. The cubic root of 900168 is about 96.5549455763.

The spelling of 900168 in words is "nine hundred thousand, one hundred sixty-eight".