90809664 has 224 divisors, whose sum is σ = 288706560. Its totient is φ = 24883200.

The previous prime is 90809657. The next prime is 90809707. The reversal of 90809664 is 46690809.

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 31 ways as a sum of consecutive naturals, for example, 1243932 + ... + 1244004.

Almost surely, 2^90809664 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 90809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144353280).

90809664 is an abundant number, since it is smaller than the sum of its proper divisors (197896896).

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

90809664 is a wasteful number, since it uses less digits than its factorization.

90809664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 90809664 is about 9529.4104749454. The cubic root of 90809664 is about 449.4803284961.

The spelling of 90809664 in words is "ninety million, eight hundred nine thousand, six hundred sixty-four".