90900180 has 144 divisors (see below), whose sum is σ = 331793280. Its totient is φ = 19678464.

The previous prime is 90900167. The next prime is 90900193. The reversal of 90900180 is 8100909.

It is an interprime number because it is at equal distance from previous prime (90900167) and next prime (90900193).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 22042 + ... + 25838.

It is an arithmetic number, because the mean of its divisors is an integer number (2304120).

Almost surely, 2^90900180 is an apocalyptic number.

90900180 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 90900180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165896640).

90900180 is an abundant number, since it is smaller than the sum of its proper divisors (240893100).

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

90900180 is a wasteful number, since it uses less digits than its factorization.

90900180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 90900180 is about 9534.1585889894. The cubic root of 90900180 is about 449.6296211640.

The spelling of 90900180 in words is "ninety million, nine hundred thousand, one hundred eighty".