12981864 has 128 divisors (see below), whose sum is σ = 40320000. Its totient is φ = 3471552.

The previous prime is 12981851. The next prime is 12981869. The reversal of 12981864 is 46818921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12981869) 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, 156367 + ... + 156449.

It is an arithmetic number, because the mean of its divisors is an integer number (315000).

Almost surely, 2^12981864 is an apocalyptic number.

12981864 is a gapful number since it is divisible by the number (14) 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 12981864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160000).

12981864 is an abundant number, since it is smaller than the sum of its proper divisors (27338136).

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

12981864 is a wasteful number, since it uses less digits than its factorization.

12981864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 12981864 is about 3603.0353870036. The cubic root of 12981864 is about 235.0240747932.

The spelling of 12981864 in words is "twelve million, nine hundred eighty-one thousand, eight hundred sixty-four".