90509160 has 256 divisors, whose sum is σ = 335923200. Its totient is φ = 19049472.

The previous prime is 90509149. The next prime is 90509183. The reversal of 90509160 is 6190509.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 845827 + ... + 845933.

It is an arithmetic number, because the mean of its divisors is an integer number (1312200).

Almost surely, 2^90509160 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 90509160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167961600).

90509160 is an abundant number, since it is smaller than the sum of its proper divisors (245414040).

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

90509160 is a wasteful number, since it uses less digits than its factorization.

90509160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 90509160 is about 9513.6302219500. The cubic root of 90509160 is about 448.9839793359.

Adding to 90509160 its reverse (6190509), we get a palindrome (96699669).

The spelling of 90509160 in words is "ninety million, five hundred nine thousand, one hundred sixty".