13468224 has 112 divisors (see below), whose sum is σ = 44476416. Its totient is φ = 3494400.

The previous prime is 13468219. The next prime is 13468237. The reversal of 13468224 is 42286431.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 13468191 and 13468200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14329 + ... + 15239.

Almost surely, 2^13468224 is an apocalyptic number.

13468224 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 13468224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22238208).

13468224 is an abundant number, since it is smaller than the sum of its proper divisors (31008192).

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

13468224 is a wasteful number, since it uses less digits than its factorization.

13468224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 934 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 13468224 is about 3669.9079007517. The cubic root of 13468224 is about 237.9231915601.

The spelling of 13468224 in words is "thirteen million, four hundred sixty-eight thousand, two hundred twenty-four".