13965280 has 96 divisors (see below), whose sum is σ = 38840256. Its totient is φ = 4644864.

The previous prime is 13965277. The next prime is 13965299. The reversal of 13965280 is 8256931.

13965280 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

13965280 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41272 + ... + 41608.

It is an arithmetic number, because the mean of its divisors is an integer number (404586).

Almost surely, 2^13965280 is an apocalyptic number.

13965280 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 13965280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19420128).

13965280 is an abundant number, since it is smaller than the sum of its proper divisors (24874976).

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

13965280 is a wasteful number, since it uses less digits than its factorization.

13965280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 13965280 is about 3737.0148514556. The cubic root of 13965280 is about 240.8148230593.

It can be divided in two parts, 1396 and 5280, that multiplied together give a triangular number (7370880 = T₃₈₃₉).

The spelling of 13965280 in words is "thirteen million, nine hundred sixty-five thousand, two hundred eighty".