90821064 has 64 divisors (see below), whose sum is σ = 240768000. Its totient is φ = 28468800.

The previous prime is 90821057. The next prime is 90821147. The reversal of 90821064 is 46012809.

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 15 ways as a sum of consecutive naturals, for example, 68197 + ... + 69515.

It is an arithmetic number, because the mean of its divisors is an integer number (3762000).

Almost surely, 2^90821064 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 90821064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120384000).

90821064 is an abundant number, since it is smaller than the sum of its proper divisors (149946936).

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

90821064 is a wasteful number, since it uses less digits than its factorization.

90821064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 90821064 is about 9530.0086044033. The cubic root of 90821064 is about 449.4991365580.

The spelling of 90821064 in words is "ninety million, eight hundred twenty-one thousand, sixty-four".