90160200 has 144 divisors (see below), whose sum is σ = 326164020. Its totient is φ = 22187520.

The previous prime is 90160193. The next prime is 90160211. The reversal of 90160200 is 206109.

It can be written as a sum of positive squares in 6 ways, for example, as 45724644 + 44435556 = 6762^2 + 6666^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21474 + ... + 25326.

Almost surely, 2^90160200 is an apocalyptic number.

90160200 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 90160200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163082010).

90160200 is an abundant number, since it is smaller than the sum of its proper divisors (236003820).

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

90160200 is a wasteful number, since it uses less digits than its factorization.

90160200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 90160200 is about 9495.2725079378. The cubic root of 90160200 is about 448.4062137278.

Adding to 90160200 its reverse (206109), we get a palindrome (90366309).

The spelling of 90160200 in words is "ninety million, one hundred sixty thousand, two hundred".