12648900 has 72 divisors (see below), whose sum is σ = 39934944. Its totient is φ = 3065600.

The previous prime is 12648893. The next prime is 12648917. The reversal of 12648900 is 984621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1384 + ... + 5216.

It is an arithmetic number, because the mean of its divisors is an integer number (554652).

Almost surely, 2^12648900 is an apocalyptic number.

12648900 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 12648900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19967472).

12648900 is an abundant number, since it is smaller than the sum of its proper divisors (27286044).

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

12648900 is a wasteful number, since it uses less digits than its factorization.

12648900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 12648900 is about 3556.5292069657. The cubic root of 12648900 is about 232.9973167982.

The spelling of 12648900 in words is "twelve million, six hundred forty-eight thousand, nine hundred".