13778268 has 96 divisors (see below), whose sum is σ = 39513600. Its totient is φ = 3649536.

The previous prime is 13778267. The next prime is 13778309. The reversal of 13778268 is 86287731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13778267) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 141996 + ... + 142092.

It is an arithmetic number, because the mean of its divisors is an integer number (411600).

Almost surely, 2^13778268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13778268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756800).

13778268 is an abundant number, since it is smaller than the sum of its proper divisors (25735332).

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

13778268 is a wasteful number, since it uses less digits than its factorization.

13778268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 13778268 is about 3711.9089428487. The cubic root of 13778268 is about 239.7350548468.

The spelling of 13778268 in words is "thirteen million, seven hundred seventy-eight thousand, two hundred sixty-eight".