12633180 has 72 divisors (see below), whose sum is σ = 41157648. Its totient is φ = 2886912.

The previous prime is 12633167. The next prime is 12633191. The reversal of 12633180 is 8133621.

It is a self number, because there is not a number n which added to its sum of digits gives 12633180.

It is a congruent number.

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, 792 + ... + 5088.

It is an arithmetic number, because the mean of its divisors is an integer number (571634).

Almost surely, 2^12633180 is an apocalyptic number.

12633180 is a gapful number since it is divisible by the number (10) 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 12633180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20578824).

12633180 is an abundant number, since it is smaller than the sum of its proper divisors (28524468).

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

12633180 is a wasteful number, since it uses less digits than its factorization.

12633180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12633180 is about 3554.3185000785. The cubic root of 12633180 is about 232.9007540877.

The spelling of 12633180 in words is "twelve million, six hundred thirty-three thousand, one hundred eighty".