12673440 has 144 divisors (see below), whose sum is σ = 46643688. Its totient is φ = 3115008.

The previous prime is 12673403. The next prime is 12673447. The reversal of 12673440 is 4437621.

It can be written as a sum of positive squares in 4 ways, for example, as 11532816 + 1140624 = 3396^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12673447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18382 + ... + 19058.

Almost surely, 2^12673440 is an apocalyptic number.

12673440 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 12673440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23321844).

12673440 is an abundant number, since it is smaller than the sum of its proper divisors (33970248).

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

12673440 is a wasteful number, since it uses less digits than its factorization.

12673440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 12673440 is about 3559.9775280190. The cubic root of 12673440 is about 233.1478980208.

The spelling of 12673440 in words is "twelve million, six hundred seventy-three thousand, four hundred forty".