12970560 has 112 divisors (see below), whose sum is σ = 42062400. Its totient is φ = 3385344.

The previous prime is 12970537. The next prime is 12970577. The reversal of 12970560 is 6507921.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56526 + ... + 56754.

Almost surely, 2^12970560 is an apocalyptic number.

12970560 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 12970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21031200).

12970560 is an abundant number, since it is smaller than the sum of its proper divisors (29091840).

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

12970560 is a wasteful number, since it uses less digits than its factorization.

12970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 12970560 is about 3601.4663680229. The cubic root of 12970560 is about 234.9558389932.

It can be divided in two parts, 12970 and 560, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 12970560 in words is "twelve million, nine hundred seventy thousand, five hundred sixty".