12721464 has 96 divisors (see below), whose sum is σ = 40360320. Its totient is φ = 3544128.

The previous prime is 12721447. The next prime is 12721477. The reversal of 12721464 is 46412721.

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 23 ways as a sum of consecutive naturals, for example, 21379 + ... + 21965.

It is an arithmetic number, because the mean of its divisors is an integer number (420420).

Almost surely, 2^12721464 is an apocalyptic number.

12721464 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 12721464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180160).

12721464 is an abundant number, since it is smaller than the sum of its proper divisors (27638856).

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

12721464 is a wasteful number, since it uses less digits than its factorization.

12721464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 642 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 12721464 is about 3566.7161367286. The cubic root of 12721464 is about 233.4420192079.

It can be divided in two parts, 12 and 721464, that multiplied together give a palindrome (8657568).

The spelling of 12721464 in words is "twelve million, seven hundred twenty-one thousand, four hundred sixty-four".