90688320 has 84 divisors (see below), whose sum is σ = 311939940. Its totient is φ = 24182784.

The previous prime is 90688313. The next prime is 90688321. The reversal of 90688320 is 2388609.

It can be written as a sum of positive squares in 2 ways, for example, as 43243776 + 47444544 = 6576^2 + 6888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90688321) 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 11 ways as a sum of consecutive naturals, for example, 12865 + ... + 18624.

Almost surely, 2^90688320 is an apocalyptic number.

90688320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90688320 is an abundant number, since it is smaller than the sum of its proper divisors (221251620).

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

90688320 is a wasteful number, since it uses less digits than its factorization.

90688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31512 (or 31499 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 90688320 is about 9523.0415309396. The cubic root of 90688320 is about 449.2800339080.

The spelling of 90688320 in words is "ninety million, six hundred eighty-eight thousand, three hundred twenty".