900795168 has 576 divisors, whose sum is σ = 3493002240. Its totient is φ = 221709312.

The previous prime is 900795163. The next prime is 900795173. The reversal of 900795168 is 861597009.

It is an interprime number because it is at equal distance from previous prime (900795163) and next prime (900795173).

It is a super-2 number, since 2×900795168² = 1622863869384296448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (900795163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13444671 + ... + 13444737.

It is an arithmetic number, because the mean of its divisors is an integer number (6064240).

Almost surely, 2^900795168 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 900795168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746501120).

900795168 is an abundant number, since it is smaller than the sum of its proper divisors (2592207072).

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

900795168 is a wasteful number, since it uses less digits than its factorization.

900795168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 900795168 is about 30013.2498740140. The cubic root of 900795168 is about 965.7736439661.

The spelling of 900795168 in words is "nine hundred million, seven hundred ninety-five thousand, one hundred sixty-eight".