13967820 has 72 divisors (see below), whose sum is σ = 42989856. Its totient is φ = 3670272.

The previous prime is 13967813. The next prime is 13967827. The reversal of 13967820 is 2876931.

It is an interprime number because it is at equal distance from previous prime (13967813) and next prime (13967827).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13967827) 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 23 ways as a sum of consecutive naturals, for example, 12609 + ... + 13671.

It is a vampire number, since it can be written as 2190 ⋅ 6378 (with its own digits).

Almost surely, 2^13967820 is an apocalyptic number.

13967820 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 13967820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21494928).

13967820 is an abundant number, since it is smaller than the sum of its proper divisors (29022036).

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

13967820 is a wasteful number, since it uses less digits than its factorization.

13967820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13967820 is about 3737.3546794491. The cubic root of 13967820 is about 240.8294219448.

It can be divided in two parts, 1396 and 7820, that added together give a square (9216 = 96²).

The spelling of 13967820 in words is "thirteen million, nine hundred sixty-seven thousand, eight hundred twenty".