90893664 has 72 divisors (see below), whose sum is σ = 268075080. Its totient is φ = 30295296.

The previous prime is 90893623. The next prime is 90893669. The reversal of 90893664 is 46639809.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90893669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1932 + ... + 13620.

It is an arithmetic number, because the mean of its divisors is an integer number (3723265).

Almost surely, 2^90893664 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 90893664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134037540).

90893664 is an abundant number, since it is smaller than the sum of its proper divisors (177181416).

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

90893664 is a wasteful number, since it uses less digits than its factorization.

90893664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11714 (or 11694 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 90893664 is about 9533.8168641945. The cubic root of 90893664 is about 449.6188773033.

The spelling of 90893664 in words is "ninety million, eight hundred ninety-three thousand, six hundred sixty-four".