13968864 has 216 divisors, whose sum is σ = 50358672. Its totient is φ = 3594240.

The previous prime is 13968863. The next prime is 13968881. The reversal of 13968864 is 46886931.

It is a super-2 number, since 2×13968864² = 390258322900992, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13968863) 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 35 ways as a sum of consecutive naturals, for example, 340684 + ... + 340724.

It is an arithmetic number, because the mean of its divisors is an integer number (233142).

Almost surely, 2^13968864 is an apocalyptic number.

13968864 is a gapful number since it is divisible by the number (14) 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 13968864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25179336).

13968864 is an abundant number, since it is smaller than the sum of its proper divisors (36389808).

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

13968864 is a wasteful number, since it uses less digits than its factorization.

13968864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 13968864 is about 3737.4943478218. The cubic root of 13968864 is about 240.8354219184.

The spelling of 13968864 in words is "thirteen million, nine hundred sixty-eight thousand, eight hundred sixty-four".