13826736 has 240 divisors, whose sum is σ = 51068160. Its totient is φ = 3386880.

The previous prime is 13826689. The next prime is 13826767. The reversal of 13826736 is 63762831.

13826736 = 50² + 51² + ... + 346².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13826736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321531 + ... + 321573.

It is an arithmetic number, because the mean of its divisors is an integer number (212784).

Almost surely, 2^13826736 is an apocalyptic number.

13826736 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 13826736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25534080).

13826736 is an abundant number, since it is smaller than the sum of its proper divisors (37241424).

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

13826736 is a wasteful number, since it uses less digits than its factorization.

13826736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13826736 is about 3718.4319275738. The cubic root of 13826736 is about 240.0158322889.

It can be divided in two parts, 1382 and 6736, that added together give a palindrome (8118).

The spelling of 13826736 in words is "thirteen million, eight hundred twenty-six thousand, seven hundred thirty-six".