90688560 has 80 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 24037120.

The previous prime is 90688553. The next prime is 90688561. The reversal of 90688560 is 6588609.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90688561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41905 + ... + 44015.

It is an arithmetic number, because the mean of its divisors is an integer number (3535488).

Almost surely, 2^90688560 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 90688560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

90688560 is an abundant number, since it is smaller than the sum of its proper divisors (192150480).

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

90688560 is a wasteful number, since it uses less digits than its factorization.

90688560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 90688560 is about 9523.0541319474. The cubic root of 90688560 is about 449.2804302366.

The spelling of 90688560 in words is "ninety million, six hundred eighty-eight thousand, five hundred sixty".