12580640 has 48 divisors (see below), whose sum is σ = 30232440. Its totient is φ = 4945920.

The previous prime is 12580627. The next prime is 12580643. The reversal of 12580640 is 4608521.

It can be written as a sum of positive squares in 4 ways, for example, as 8596624 + 3984016 = 2932^2 + 1996^2 .

It is not an unprimeable number, because it can be changed into a prime (12580643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9116 + ... + 10404.

Almost surely, 2^12580640 is an apocalyptic number.

12580640 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 12580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15116220).

12580640 is an abundant number, since it is smaller than the sum of its proper divisors (17651800).

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

12580640 is a wasteful number, since it uses less digits than its factorization.

12580640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 12580640 is about 3546.9197904661. The cubic root of 12580640 is about 232.5774359554.

The spelling of 12580640 in words is "twelve million, five hundred eighty thousand, six hundred forty".