12982464 has 112 divisors (see below), whose sum is σ = 41696640. Its totient is φ = 3928320.

The previous prime is 12982433. The next prime is 12982471. The reversal of 12982464 is 46428921.

It is a super-2 number, since 2×12982464² = 337088743022592, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

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, 18667 + ... + 19349.

Almost surely, 2^12982464 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 12982464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20848320).

12982464 is an abundant number, since it is smaller than the sum of its proper divisors (28714176).

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

12982464 is a wasteful number, since it uses less digits than its factorization.

12982464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 699 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12982464 is about 3603.1186491705. The cubic root of 12982464 is about 235.0276955438.

The spelling of 12982464 in words is "twelve million, nine hundred eighty-two thousand, four hundred sixty-four".