12985344 has 66 divisors (see below), whose sum is σ = 37521510. Its totient is φ = 4325376.

The previous prime is 12985339. The next prime is 12985351. The reversal of 12985344 is 44358921.

It can be written as a sum of positive squares in only one way, i.e., 7225344 + 5760000 = 2688^2 + 2400^2 .

It is a super-3 number, since 3×12985344³ (a number of 22 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12985299 and 12985308.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8512 + ... + 9920.

Almost surely, 2^12985344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12985344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18760755).

12985344 is an abundant number, since it is smaller than the sum of its proper divisors (24536166).

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

12985344 is a wasteful number, since it uses less digits than its factorization.

12985344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1414 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 12985344 is about 3603.5182807917. The cubic root of 12985344 is about 235.0450735935.

The spelling of 12985344 in words is "twelve million, nine hundred eighty-five thousand, three hundred forty-four".