90668160 has 384 divisors, whose sum is σ = 360884160. Its totient is φ = 21565440.

The previous prime is 90668159. The next prime is 90668203. The reversal of 90668160 is 6186609.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1710694 + ... + 1710746.

Almost surely, 2^90668160 is an apocalyptic number.

90668160 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 90668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180442080).

90668160 is an abundant number, since it is smaller than the sum of its proper divisors (270216000).

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

90668160 is a wasteful number, since it uses less digits than its factorization.

90668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 74 counting only the distinct ones).

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

The square root of 90668160 is about 9521.9829867523. The cubic root of 90668160 is about 449.2467398126.

The spelling of 90668160 in words is "ninety million, six hundred sixty-eight thousand, one hundred sixty".