90823680 has 264 divisors, whose sum is σ = 330827952. Its totient is φ = 23887872.

The previous prime is 90823661. The next prime is 90823703. The reversal of 90823680 is 8632809.

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

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 23 ways as a sum of consecutive naturals, for example, 1244124 + ... + 1244196.

Almost surely, 2^90823680 is an apocalyptic number.

90823680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165413976).

90823680 is an abundant number, since it is smaller than the sum of its proper divisors (240004272).

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

90823680 is an equidigital number, since it uses as much as digits as its factorization.

90823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

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

The square root of 90823680 is about 9530.1458540780. The cubic root of 90823680 is about 449.5034522912.

The spelling of 90823680 in words is "ninety million, eight hundred twenty-three thousand, six hundred eighty".