90686160 has 240 divisors, whose sum is σ = 334264320. Its totient is φ = 21934080.

The previous prime is 90686159. The next prime is 90686179. The reversal of 90686160 is 6168609.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379321 + ... + 379559.

It is an arithmetic number, because the mean of its divisors is an integer number (1392768).

Almost surely, 2^90686160 is an apocalyptic number.

90686160 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 90686160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132160).

90686160 is an abundant number, since it is smaller than the sum of its proper divisors (243578160).

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

90686160 is a wasteful number, since it uses less digits than its factorization.

90686160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 90686160 is about 9522.9281211191. The cubic root of 90686160 is about 449.2764669195.

The spelling of 90686160 in words is "ninety million, six hundred eighty-six thousand, one hundred sixty".