13968340 has 12 divisors (see below), whose sum is σ = 29333556. Its totient is φ = 5587328.

The previous prime is 13968307. The next prime is 13968341. The reversal of 13968340 is 4386931.

13968340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4008004 + 9960336 = 2002^2 + 3156^2 .

It is a super-2 number, since 2×13968340² = 390229044711200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13968296 and 13968305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13968341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 349189 + ... + 349228.

It is an arithmetic number, because the mean of its divisors is an integer number (2444463).

Almost surely, 2^13968340 is an apocalyptic number.

13968340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13968340 is an abundant number, since it is smaller than the sum of its proper divisors (15365216).

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

13968340 is a wasteful number, since it uses less digits than its factorization.

13968340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698426 (or 698424 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 13968340 is about 3737.4242467239. The cubic root of 13968340 is about 240.8324104747.

The spelling of 13968340 in words is "thirteen million, nine hundred sixty-eight thousand, three hundred forty".