90682560 has 252 divisors, whose sum is σ = 334505808. Its totient is φ = 22505472.

The previous prime is 90682517. The next prime is 90682567. The reversal of 90682560 is 6528609.

90682560 is a `hidden beast` number, since 90 + 6 + 8 + 2 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (90682567) 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 35 ways as a sum of consecutive naturals, for example, 2450862 + ... + 2450898.

It is an arithmetic number, because the mean of its divisors is an integer number (1327404).

Almost surely, 2^90682560 is an apocalyptic number.

90682560 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 90682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167252904).

90682560 is an abundant number, since it is smaller than the sum of its proper divisors (243823248).

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

90682560 is a wasteful number, since it uses less digits than its factorization.

90682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 90682560 is about 9522.7391017501. The cubic root of 90682560 is about 449.2705218129.

It can be divided in two parts, 9068 and 2560, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 90682560 in words is "ninety million, six hundred eighty-two thousand, five hundred sixty".