13242624 has 72 divisors (see below), whose sum is σ = 36154272. Its totient is φ = 4300800.

The previous prime is 13242623. The next prime is 13242629. The reversal of 13242624 is 42624231.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13242594 and 13242603.

It is not an unprimeable number, because it can be changed into a prime (13242623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32824 + ... + 33224.

Almost surely, 2^13242624 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 13242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18077136).

13242624 is an abundant number, since it is smaller than the sum of its proper divisors (22911648).

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

13242624 is an equidigital number, since it uses as much as digits as its factorization.

13242624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 449 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 13242624 is about 3639.0416320784. The cubic root of 13242624 is about 236.5872571866.

Adding to 13242624 its reverse (42624231), we get a palindrome (55866855).

The spelling of 13242624 in words is "thirteen million, two hundred forty-two thousand, six hundred twenty-four".