12600640 has 84 divisors (see below), whose sum is σ = 32630364. Its totient is φ = 4632576.

The previous prime is 12600631. The next prime is 12600647. The reversal of 12600640 is 4600621.

It can be written as a sum of positive squares in 6 ways, for example, as 4260096 + 8340544 = 2064^2 + 2888^2 .

It is a super-2 number, since 2×12600640² = 317552256819200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12600647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53964 + ... + 54196.

Almost surely, 2^12600640 is an apocalyptic number.

12600640 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 12600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16315182).

12600640 is an abundant number, since it is smaller than the sum of its proper divisors (20029724).

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

12600640 is a wasteful number, since it uses less digits than its factorization.

12600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 12600640 is about 3549.7380185022. The cubic root of 12600640 is about 232.7006169163.

Subtracting from 12600640 its sum of digits (19), we obtain a palindrome (12600621).

The spelling of 12600640 in words is "twelve million, six hundred thousand, six hundred forty".