90182900 has 36 divisors (see below), whose sum is σ = 197656620. Its totient is φ = 35712000.

The previous prime is 90182893. The next prime is 90182921. The reversal of 90182900 is 928109.

It can be written as a sum of positive squares in 6 ways, for example, as 1860496 + 88322404 = 1364^2 + 9398^2 .

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 11 ways as a sum of consecutive naturals, for example, 5636 + ... + 14564.

Almost surely, 2^90182900 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 90182900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98828310).

90182900 is an abundant number, since it is smaller than the sum of its proper divisors (107473720).

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

90182900 is a wasteful number, since it uses less digits than its factorization.

90182900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9044 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 90182900 is about 9496.4677643848. The cubic root of 90182900 is about 448.4438429216.

The spelling of 90182900 in words is "ninety million, one hundred eighty-two thousand, nine hundred".