12985560 has 96 divisors (see below), whose sum is σ = 48241440. Its totient is φ = 2967552.

The previous prime is 12985549. The next prime is 12985597. The reversal of 12985560 is 6558921.

It is a happy number.

12985560 is a `hidden beast` number, since 1 + 2 + 98 + 5 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57 + ... + 5096.

It is an arithmetic number, because the mean of its divisors is an integer number (502515).

Almost surely, 2^12985560 is an apocalyptic number.

12985560 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 12985560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24120720).

12985560 is an abundant number, since it is smaller than the sum of its proper divisors (35255880).

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

12985560 is a wasteful number, since it uses less digits than its factorization.

12985560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5177 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 12985560 is about 3603.5482513767. The cubic root of 12985560 is about 235.0463768437.

The spelling of 12985560 in words is "twelve million, nine hundred eighty-five thousand, five hundred sixty".