90545664 has 160 divisors (see below), whose sum is σ = 275768064. Its totient is φ = 26132480.

The previous prime is 90545599. The next prime is 90545683. The reversal of 90545664 is 46654509.

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 15 ways as a sum of consecutive naturals, for example, 388492 + ... + 388724.

Almost surely, 2^90545664 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 90545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137884032).

90545664 is an abundant number, since it is smaller than the sum of its proper divisors (185222400).

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

90545664 is a wasteful number, since it uses less digits than its factorization.

90545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 90545664 is about 9515.5485391017. The cubic root of 90545664 is about 449.0443323736.

The spelling of 90545664 in words is "ninety million, five hundred forty-five thousand, six hundred sixty-four".