12742464 has 112 divisors (see below), whose sum is σ = 40640000. Its totient is φ = 3442176.

The previous prime is 12742459. The next prime is 12742481. The reversal of 12742464 is 46424721.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

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, 25287 + ... + 25785.

Almost surely, 2^12742464 is an apocalyptic number.

12742464 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 12742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20320000).

12742464 is an abundant number, since it is smaller than the sum of its proper divisors (27897536).

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

12742464 is a wasteful number, since it uses less digits than its factorization.

12742464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 530 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 12742464 is about 3569.6588072251. The cubic root of 12742464 is about 233.5704003279.

The spelling of 12742464 in words is "twelve million, seven hundred forty-two thousand, four hundred sixty-four".