13007424 has 56 divisors (see below), whose sum is σ = 35364928. Its totient is φ = 4216320.

The previous prime is 13007417. The next prime is 13007437. The reversal of 13007424 is 42470031.

It is a super-3 number, since 3×13007424³ (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13007424.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6189 + ... + 8019.

Almost surely, 2^13007424 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 13007424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17682464).

13007424 is an abundant number, since it is smaller than the sum of its proper divisors (22357504).

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

13007424 is a wasteful number, since it uses less digits than its factorization.

13007424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 13007424 is about 3606.5806520859. The cubic root of 13007424 is about 235.1782200203.

Adding to 13007424 its reverse (42470031), we get a palindrome (55477455).

It can be divided in two parts, 13007 and 424, that added together give a palindrome (13431).

The spelling of 13007424 in words is "thirteen million, seven thousand, four hundred twenty-four".