13437424 has 80 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 4826880.

The previous prime is 13437421. The next prime is 13437449. The reversal of 13437424 is 42473431.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13437392 and 13437401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13437421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15597 + ... + 16435.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 2^13437424 is an apocalyptic number.

13437424 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 13437424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

13437424 is an abundant number, since it is smaller than the sum of its proper divisors (21560336).

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

13437424 is a wasteful number, since it uses less digits than its factorization.

13437424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 872 counting only the distinct ones).

The product of its digits is 8064, while the sum is 28.

The square root of 13437424 is about 3665.7092083252. The cubic root of 13437424 is about 237.7416871172.

It can be divided in two parts, 13437 and 424, that added together give a triangular number (13861 = T₁₆₆).

The spelling of 13437424 in words is "thirteen million, four hundred thirty-seven thousand, four hundred twenty-four".