90964566 has 128 divisors (see below), whose sum is σ = 255467520. Its totient is φ = 23306400.

The previous prime is 90964529. The next prime is 90964583. The reversal of 90964566 is 66546909.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 544615 + ... + 544781.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 2^90964566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90964566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

90964566 is an abundant number, since it is smaller than the sum of its proper divisors (164502954).

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

90964566 is a wasteful number, since it uses less digits than its factorization.

90964566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 90964566 is about 9537.5345870932. The cubic root of 90964566 is about 449.7357559750.

The spelling of 90964566 in words is "ninety million, nine hundred sixty-four thousand, five hundred sixty-six".