90986160 has 160 divisors (see below), whose sum is σ = 300837888. Its totient is φ = 22696960.

The previous prime is 90986123. The next prime is 90986167. The reversal of 90986160 is 6168909.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90986167) 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 31 ways as a sum of consecutive naturals, for example, 292405 + ... + 292715.

Almost surely, 2^90986160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90986160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150418944).

90986160 is an abundant number, since it is smaller than the sum of its proper divisors (209851728).

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

90986160 is a wasteful number, since it uses less digits than its factorization.

90986160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 90986160 is about 9538.6665734787. Note that the first 3 decimals coincide. The cubic root of 90986160 is about 449.7713406207.

The spelling of 90986160 in words is "ninety million, nine hundred eighty-six thousand, one hundred sixty".