12723984 has 120 divisors (see below), whose sum is σ = 43872192. Its totient is φ = 3352320.

The previous prime is 12723979. The next prime is 12724009. The reversal of 12723984 is 48932721.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12619 + ... + 13589.

Almost surely, 2^12723984 is an apocalyptic number.

12723984 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 12723984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936096).

12723984 is an abundant number, since it is smaller than the sum of its proper divisors (31148208).

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

12723984 is a wasteful number, since it uses less digits than its factorization.

12723984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 996 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 12723984 is about 3567.0693853638. The cubic root of 12723984 is about 233.4574323985.

The spelling of 12723984 in words is "twelve million, seven hundred twenty-three thousand, nine hundred eighty-four".