90635680 has 48 divisors (see below), whose sum is σ = 216132840. Its totient is φ = 35914752.

The previous prime is 90635669. The next prime is 90635711. The reversal of 90635680 is 8653609.

It can be written as a sum of positive squares in 4 ways, for example, as 77933584 + 12702096 = 8828^2 + 3564^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14842 + ... + 20038.

Almost surely, 2^90635680 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 90635680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108066420).

90635680 is an abundant number, since it is smaller than the sum of its proper divisors (125497160).

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

90635680 is a wasteful number, since it uses less digits than its factorization.

90635680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 90635680 is about 9520.2773068856. The cubic root of 90635680 is about 449.1930889432.

The spelling of 90635680 in words is "ninety million, six hundred thirty-five thousand, six hundred eighty".