13967280 has 120 divisors (see below), whose sum is σ = 49423920. Its totient is φ = 3525120.

The previous prime is 13967273. The next prime is 13967293. The reversal of 13967280 is 8276931.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13170 + ... + 14190.

It is an arithmetic number, because the mean of its divisors is an integer number (411866).

Almost surely, 2^13967280 is an apocalyptic number.

13967280 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 13967280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24711960).

13967280 is an abundant number, since it is smaller than the sum of its proper divisors (35456640).

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

13967280 is a wasteful number, since it uses less digits than its factorization.

13967280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1050 counting only the distinct ones).

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

The square root of 13967280 is about 3737.2824351392. The cubic root of 13967280 is about 240.8263183929.

The spelling of 13967280 in words is "thirteen million, nine hundred sixty-seven thousand, two hundred eighty".