9000360 has 96 divisors (see below), whose sum is σ = 30551040. Its totient is φ = 2293632.

The previous prime is 9000349. The next prime is 9000377. The reversal of 9000360 is 630009.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7737 + ... + 8823.

It is an arithmetic number, because the mean of its divisors is an integer number (318240).

Almost surely, 2^9000360 is an apocalyptic number.

9000360 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 9000360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15275520).

9000360 is an abundant number, since it is smaller than the sum of its proper divisors (21550680).

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

9000360 is a wasteful number, since it uses less digits than its factorization.

9000360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 9000360 is about 3000.0599994000. The cubic root of 9000360 is about 208.0111557133.

Adding to 9000360 its reverse (630009), we get a palindrome (9630369).

It can be divided in two parts, 9000 and 360, that multiplied together give a square (3240000 = 1800²).

The spelling of 9000360 in words is "nine million, three hundred sixty", and thus it is an aban number.