90138600 has 72 divisors (see below), whose sum is σ = 302721510. Its totient is φ = 24036480.

The previous prime is 90138599. The next prime is 90138649. The reversal of 90138600 is 683109.

It can be written as a sum of positive squares in 3 ways, for example, as 79602084 + 10536516 = 8922^2 + 3246^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23239 + ... + 26838.

Almost surely, 2^90138600 is an apocalyptic number.

90138600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90138600 is an abundant number, since it is smaller than the sum of its proper divisors (212582910).

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

90138600 is a wasteful number, since it uses less digits than its factorization.

90138600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50099 (or 50087 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 90138600 is about 9494.1350316919. The cubic root of 90138600 is about 448.3704021103.

The spelling of 90138600 in words is "ninety million, one hundred thirty-eight thousand, six hundred".