12645920 has 72 divisors (see below), whose sum is σ = 34775244. Its totient is φ = 4333056.

The previous prime is 12645911. The next prime is 12645931. The reversal of 12645920 is 2954621.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12645136 + 784 = 3556^2 + 28^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7034 + ... + 8646.

Almost surely, 2^12645920 is an apocalyptic number.

12645920 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 12645920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17387622).

12645920 is an abundant number, since it is smaller than the sum of its proper divisors (22129324).

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

12645920 is a wasteful number, since it uses less digits than its factorization.

12645920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 12645920 is about 3556.1102345119. The cubic root of 12645920 is about 232.9790178015.

The spelling of 12645920 in words is "twelve million, six hundred forty-five thousand, nine hundred twenty".