90013800 has 96 divisors (see below), whose sum is σ = 283106880. Its totient is φ = 23654400.

The previous prime is 90013787. The next prime is 90013813. The reversal of 90013800 is 831009.

It is an interprime number because it is at equal distance from previous prime (90013787) and next prime (90013813).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 41544 + ... + 43656.

It is an arithmetic number, because the mean of its divisors is an integer number (2949030).

Almost surely, 2^90013800 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 90013800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141553440).

90013800 is an abundant number, since it is smaller than the sum of its proper divisors (193093080).

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

90013800 is a wasteful number, since it uses less digits than its factorization.

90013800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 90013800 is about 9487.5602764884. The cubic root of 90013800 is about 448.1633784427.

Adding to 90013800 its reverse (831009), we get a palindrome (90844809).

The spelling of 90013800 in words is "ninety million, thirteen thousand, eight hundred".