90782160 has 80 divisors (see below), whose sum is σ = 321634176. Its totient is φ = 20749824.

The previous prime is 90782149. The next prime is 90782161. The reversal of 90782160 is 6128709.

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 (90782161) 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, 25339 + ... + 28698.

Almost surely, 2^90782160 is an apocalyptic number.

It is an amenable number.

90782160 is an abundant number, since it is smaller than the sum of its proper divisors (230852016).

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

90782160 is a wasteful number, since it uses less digits than its factorization.

90782160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54060 (or 54054 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 90782160 is about 9527.9672543518. The cubic root of 90782160 is about 449.4349450912.

The spelling of 90782160 in words is "ninety million, seven hundred eighty-two thousand, one hundred sixty".