13968220 has 48 divisors (see below), whose sum is σ = 35501760. Its totient is φ = 4506624.

The previous prime is 13968217. The next prime is 13968221. The reversal of 13968220 is 2286931.

13968220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13968220² = 390222339936800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13968221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555 + ... + 5314.

It is an arithmetic number, because the mean of its divisors is an integer number (739620).

Almost surely, 2^13968220 is an apocalyptic number.

13968220 is a gapful number since it is divisible by the number (10) 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 13968220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17750880).

13968220 is an abundant number, since it is smaller than the sum of its proper divisors (21533540).

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

13968220 is a wasteful number, since it uses less digits than its factorization.

13968220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 13968220 is about 3737.4081928524. The cubic root of 13968220 is about 240.8317208206.

The spelling of 13968220 in words is "thirteen million, nine hundred sixty-eight thousand, two hundred twenty".