13826496 has 112 divisors (see below), whose sum is σ = 39794688. Its totient is φ = 4224000.

The previous prime is 13826489. The next prime is 13826513. The reversal of 13826496 is 69462831.

13826496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13826496³ (a number of 22 digits) contains 333 as substring.

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, 136846 + ... + 136946.

Almost surely, 2^13826496 is an apocalyptic number.

13826496 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 13826496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19897344).

13826496 is an abundant number, since it is smaller than the sum of its proper divisors (25968192).

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

13826496 is a wasteful number, since it uses less digits than its factorization.

13826496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 13826496 is about 3718.3996557659. The cubic root of 13826496 is about 240.0144435752.

The spelling of 13826496 in words is "thirteen million, eight hundred twenty-six thousand, four hundred ninety-six".