900361968 has 240 divisors, whose sum is σ = 2770656000. Its totient is φ = 250905600.

The previous prime is 900361951. The next prime is 900362027. The reversal of 900361968 is 869163009.

It is a congruent number.

It is an unprimeable number.

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, 4524333 + ... + 4524531.

It is an arithmetic number, because the mean of its divisors is an integer number (11544400).

Almost surely, 2^900361968 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 900361968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385328000).

900361968 is an abundant number, since it is smaller than the sum of its proper divisors (1870294032).

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

900361968 is a wasteful number, since it uses less digits than its factorization.

900361968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 900361968 is about 30006.0321935440. The cubic root of 900361968 is about 965.6188029095.

The spelling of 900361968 in words is "nine hundred million, three hundred sixty-one thousand, nine hundred sixty-eight".