90810160 has 80 divisors (see below), whose sum is σ = 249126912. Its totient is φ = 30124800.

The previous prime is 90810143. The next prime is 90810193. The reversal of 90810160 is 6101809.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 14745 + ... + 19975.

Almost surely, 2^90810160 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 90810160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124563456).

90810160 is an abundant number, since it is smaller than the sum of its proper divisors (158316752).

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

90810160 is a wasteful number, since it uses less digits than its factorization.

90810160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 90810160 is about 9529.4364996048. The cubic root of 90810160 is about 449.4811468446.

Adding to 90810160 its reverse (6101809), we get a palindrome (96911969).

The spelling of 90810160 in words is "ninety million, eight hundred ten thousand, one hundred sixty".