90163200 has 144 divisors (see below), whose sum is σ = 298574640. Its totient is φ = 24002560.

The previous prime is 90163193. The next prime is 90163207. The reversal of 90163200 is 236109.

It is an interprime number because it is at equal distance from previous prime (90163193) and next prime (90163207).

It is not an unprimeable number, because it can be changed into a prime (90163207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153307 + ... + 153893.

It is an arithmetic number, because the mean of its divisors is an integer number (2073435).

Almost surely, 2^90163200 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 90163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149287320).

90163200 is an abundant number, since it is smaller than the sum of its proper divisors (208411440).

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

90163200 is a wasteful number, since it uses less digits than its factorization.

90163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 90163200 is about 9495.4304799730. The cubic root of 90163200 is about 448.4111871112.

Adding to 90163200 its reverse (236109), we get a palindrome (90399309).

The spelling of 90163200 in words is "ninety million, one hundred sixty-three thousand, two hundred".