90604339056 has 960 divisors, whose sum is σ = 347263488000. Its totient is φ = 21794572800.

The previous prime is 90604339039. The next prime is 90604339073. The reversal of 90604339056 is 65093340609.

It is a happy number.

90604339056 is a `hidden beast` number, since 9 + 0 + 604 + 3 + 39 + 0 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (90604339039) and next prime (90604339073).

It is a super-2 number, since 2×90604339056² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 691636111 + ... + 691636241.

It is an arithmetic number, because the mean of its divisors is an integer number (361732800).

Almost surely, 2^90604339056 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 90604339056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173631744000).

90604339056 is an abundant number, since it is smaller than the sum of its proper divisors (256659148944).

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

90604339056 is a wasteful number, since it uses less digits than its factorization.

90604339056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 90604339056 in words is "ninety billion, six hundred four million, three hundred thirty-nine thousand, fifty-six".