12729456 has 60 divisors (see below), whose sum is σ = 35995960. Its totient is φ = 4199040.

The previous prime is 12729439. The next prime is 12729491. The reversal of 12729456 is 65492721.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12729456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15291 + ... + 16101.

Almost surely, 2^12729456 is an apocalyptic number.

12729456 is a gapful number since it is divisible by the number (16) 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 12729456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17997980).

12729456 is an abundant number, since it is smaller than the sum of its proper divisors (23266504).

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

12729456 is a wasteful number, since it uses less digits than its factorization.

12729456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 925 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 12729456 is about 3567.8363191156. The cubic root of 12729456 is about 233.4908940351.

The spelling of 12729456 in words is "twelve million, seven hundred twenty-nine thousand, four hundred fifty-six".