9180900 has 81 divisors (see below), whose sum is σ = 29064763. Its totient is φ = 2424000.

The previous prime is 9180883. The next prime is 9180917. The reversal of 9180900 is 90819.

The square root of 9180900 is 3030.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (9180883) and next prime (9180917).

It can be written as a sum of positive squares in 4 ways, for example, as 1695204 + 7485696 = 1302^2 + 2736^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90850 + ... + 90950.

Almost surely, 2^9180900 is an apocalyptic number.

9180900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9180900 is the 3030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9180900

9180900 is an abundant number, since it is smaller than the sum of its proper divisors (19883863).

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

9180900 is a wasteful number, since it uses less digits than its factorization.

9180900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 111 counting only the distinct ones).

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

The cubic root of 9180900 is about 209.3928038621.

The spelling of 9180900 in words is "nine million, one hundred eighty thousand, nine hundred".