900039168 has 320 divisors, whose sum is σ = 3111229440. Its totient is φ = 251596800.

The previous prime is 900039131. The next prime is 900039169. The reversal of 900039168 is 861930009.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900039169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6870463 + ... + 6870593.

It is an arithmetic number, because the mean of its divisors is an integer number (9722592).

Almost surely, 2^900039168 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 900039168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555614720).

900039168 is an abundant number, since it is smaller than the sum of its proper divisors (2211190272).

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

900039168 is a wasteful number, since it uses less digits than its factorization.

900039168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 900039168 is about 30000.6527928977. The cubic root of 900039168 is about 965.5033904351.

The spelling of 900039168 in words is "nine hundred million, thirty-nine thousand, one hundred sixty-eight".