900162172 has 144 divisors (see below), whose sum is σ = 2118054400. Its totient is φ = 325721088.

The previous prime is 900162149. The next prime is 900162173. The reversal of 900162172 is 271261009.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 900162172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900162173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4523329 + ... + 4523527.

Almost surely, 2^900162172 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 900162172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059027200).

900162172 is an abundant number, since it is smaller than the sum of its proper divisors (1217892228).

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

900162172 is a wasteful number, since it uses less digits than its factorization.

900162172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 900162172 is about 30002.7027449195. The cubic root of 900162172 is about 965.5473719912.

The spelling of 900162172 in words is "nine hundred million, one hundred sixty-two thousand, one hundred seventy-two".