90617664 has 56 divisors (see below), whose sum is σ = 242498880. Its totient is φ = 29860864.

The previous prime is 90617647. The next prime is 90617689. The reversal of 90617664 is 46671609.

It is a super-2 number, since 2×90617664² = 16423122057633792, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14437 + ... + 19739.

Almost surely, 2^90617664 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 90617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121249440).

90617664 is an abundant number, since it is smaller than the sum of its proper divisors (151881216).

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

90617664 is a wasteful number, since it uses less digits than its factorization.

90617664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 90617664 is about 9519.3310689355. The cubic root of 90617664 is about 449.1633243628.

The spelling of 90617664 in words is "ninety million, six hundred seventeen thousand, six hundred sixty-four".