14268736 has 28 divisors (see below), whose sum is σ = 28579572. Its totient is φ = 7067648.

The previous prime is 14268721. The next prime is 14268739. The reversal of 14268736 is 63786241.

It can be written as a sum of positive squares in 2 ways, for example, as 1308736 + 12960000 = 1144^2 + 3600^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14268695 and 14268704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14268739) 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 3 ways as a sum of consecutive naturals, for example, 6246 + ... + 8218.

It is an arithmetic number, because the mean of its divisors is an integer number (1020699).

Almost surely, 2^14268736 is an apocalyptic number.

14268736 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 14268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14289786).

14268736 is an abundant number, since it is smaller than the sum of its proper divisors (14310836).

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

14268736 is a wasteful number, since it uses less digits than its factorization.

14268736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2088 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 14268736 is about 3777.3980462747. The cubic root of 14268736 is about 242.5465868621.

It can be divided in two parts, 1426 and 8736, that multiplied together give a triangular number (12457536 = T₄₉₉₁).

The spelling of 14268736 in words is "fourteen million, two hundred sixty-eight thousand, seven hundred thirty-six".