12633000 has 64 divisors (see below), whose sum is σ = 39424320. Its totient is φ = 3368000.

The previous prime is 12632999. The next prime is 12633001. The reversal of 12633000 is 33621.

It is an interprime number because it is at equal distance from previous prime (12632999) and next prime (12633001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12633001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895 + ... + 5105.

It is an arithmetic number, because the mean of its divisors is an integer number (616005).

Almost surely, 2^12633000 is an apocalyptic number.

12633000 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 12633000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19712160).

12633000 is an abundant number, since it is smaller than the sum of its proper divisors (26791320).

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

12633000 is a wasteful number, since it uses less digits than its factorization.

12633000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 12633000 is about 3554.2931786784. The cubic root of 12633000 is about 232.8996479441.

Adding to 12633000 its reverse (33621), we get a palindrome (12666621).

The spelling of 12633000 in words is "twelve million, six hundred thirty-three thousand".