13966120 has 64 divisors (see below), whose sum is σ = 37094400. Its totient is φ = 4631040.

The previous prime is 13966103. The next prime is 13966153. The reversal of 13966120 is 2166931.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7876 + ... + 9484.

It is an arithmetic number, because the mean of its divisors is an integer number (579600).

Almost surely, 2^13966120 is an apocalyptic number.

13966120 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 13966120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18547200).

13966120 is an abundant number, since it is smaller than the sum of its proper divisors (23128280).

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

13966120 is a wasteful number, since it uses less digits than its factorization.

13966120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 13966120 is about 3737.1272389363. The cubic root of 13966120 is about 240.8196512331.

The spelling of 13966120 in words is "thirteen million, nine hundred sixty-six thousand, one hundred twenty".