12705660 has 240 divisors, whose sum is σ = 46835712. Its totient is φ = 2851200.

The previous prime is 12705659. The next prime is 12705697. The reversal of 12705660 is 6650721.

It is a super-2 number, since 2×12705660² = 322867592071200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 409845 + ... + 409875.

Almost surely, 2^12705660 is an apocalyptic number.

12705660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3564×3565.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12705660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23417856).

12705660 is an abundant number, since it is smaller than the sum of its proper divisors (34130052).

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

12705660 is a wasteful number, since it uses less digits than its factorization.

12705660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 12705660 is about 3564.4999649320. The cubic root of 12705660 is about 233.3453100428.

The spelling of 12705660 in words is "twelve million, seven hundred five thousand, six hundred sixty".