90884048976 has 480 divisors, whose sum is σ = 327871514880. Its totient is φ = 23774404608.

The previous prime is 90884048951. The next prime is 90884048989. The reversal of 90884048976 is 67984048809.

90884048976 is a `hidden beast` number, since 9 + 0 + 8 + 84 + 0 + 489 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17116210 + ... + 17121518.

It is an arithmetic number, because the mean of its divisors is an integer number (683065656).

Almost surely, 2^90884048976 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 90884048976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163935757440).

90884048976 is an abundant number, since it is smaller than the sum of its proper divisors (236987465904).

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

90884048976 is a wasteful number, since it uses less digits than its factorization.

90884048976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5393 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 90884048976 in words is "ninety billion, eight hundred eighty-four million, forty-eight thousand, nine hundred seventy-six".