12613824 has 84 divisors (see below), whose sum is σ = 36850320. Its totient is φ = 4124160.

The previous prime is 12613823. The next prime is 12613829. The reversal of 12613824 is 42831621.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12613823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34957 + ... + 35315.

Almost surely, 2^12613824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12613824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18425160).

12613824 is an abundant number, since it is smaller than the sum of its proper divisors (24236496).

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

12613824 is a wasteful number, since it uses less digits than its factorization.

12613824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 425 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12613824 is about 3551.5945714566. The cubic root of 12613824 is about 232.7817465406.

The spelling of 12613824 in words is "twelve million, six hundred thirteen thousand, eight hundred twenty-four".