13724256 has 96 divisors (see below), whose sum is σ = 44368128. Its totient is φ = 3617280.

The previous prime is 13724233. The next prime is 13724273. The reversal of 13724256 is 65242731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 7951 + ... + 9521.

It is an arithmetic number, because the mean of its divisors is an integer number (462168).

Almost surely, 2^13724256 is an apocalyptic number.

13724256 is a gapful number since it is divisible by the number (16) 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 13724256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22184064).

13724256 is an abundant number, since it is smaller than the sum of its proper divisors (30643872).

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

13724256 is a wasteful number, since it uses less digits than its factorization.

13724256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1596 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 13724256 is about 3704.6262969428. The cubic root of 13724256 is about 239.4213839131.

Adding to 13724256 its reverse (65242731), we get a palindrome (78966987).

The spelling of 13724256 in words is "thirteen million, seven hundred twenty-four thousand, two hundred fifty-six".