12681570 has 64 divisors (see below), whose sum is σ = 33675264. Its totient is φ = 3030720.

The previous prime is 12681527. The next prime is 12681577. The reversal of 12681570 is 7518621.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12681577) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27159 + ... + 27621.

It is an arithmetic number, because the mean of its divisors is an integer number (526176).

Almost surely, 2^12681570 is an apocalyptic number.

12681570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12681570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16837632).

12681570 is an abundant number, since it is smaller than the sum of its proper divisors (20993694).

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

12681570 is a wasteful number, since it uses less digits than its factorization.

12681570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567.

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 12681570 is about 3561.1192060924. The cubic root of 12681570 is about 233.1977420841.

The spelling of 12681570 in words is "twelve million, six hundred eighty-one thousand, five hundred seventy".