90312603360 has 384 divisors, whose sum is σ = 344811479040. Its totient is φ = 19396952064.

The previous prime is 90312603349. The next prime is 90312603373. The reversal of 90312603360 is 6330621309.

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 63 ways as a sum of consecutive naturals, for example, 57633297 + ... + 57634863.

It is an arithmetic number, because the mean of its divisors is an integer number (897946560).

Almost surely, 2^90312603360 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 90312603360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172405739520).

90312603360 is an abundant number, since it is smaller than the sum of its proper divisors (254498875680).

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

90312603360 is a wasteful number, since it uses less digits than its factorization.

90312603360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 33.

The spelling of 90312603360 in words is "ninety billion, three hundred twelve million, six hundred three thousand, three hundred sixty".