90829527984 has 160 divisors (see below), whose sum is σ = 282494696960. Its totient is φ = 27775809792.

The previous prime is 90829527983. The next prime is 90829527989. The reversal of 90829527984 is 48972592809.

It is a happy number.

90829527984 is a `hidden beast` number, since 9 + 0 + 8 + 29 + 527 + 9 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (90829527983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865797 + ... + 965019.

It is an arithmetic number, because the mean of its divisors is an integer number (1765591856).

Almost surely, 2^90829527984 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 90829527984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141247348480).

90829527984 is an abundant number, since it is smaller than the sum of its proper divisors (191665168976).

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

90829527984 is a wasteful number, since it uses less digits than its factorization.

90829527984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99416 (or 99404 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 90829527984 in words is "ninety billion, eight hundred twenty-nine million, five hundred twenty-seven thousand, nine hundred eighty-four".