13966000 has 40 divisors (see below), whose sum is σ = 33774624. Its totient is φ = 5585600.

The previous prime is 13965997. The next prime is 13966021. The reversal of 13966000 is 66931.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

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 7 ways as a sum of consecutive naturals, for example, 1492 + ... + 5491.

Almost surely, 2^13966000 is an apocalyptic number.

13966000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13966000 is an abundant number, since it is smaller than the sum of its proper divisors (19808624).

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

13966000 is an equidigital number, since it uses as much as digits as its factorization.

13966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7006 (or 6990 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 13966000 is about 3737.1111837889. Note that the first 4 decimals coincide. The cubic root of 13966000 is about 240.8189615058.

It can be divided in two parts, 1396 and 6000, that added together give a square (7396 = 86²).

The spelling of 13966000 in words is "thirteen million, nine hundred sixty-six thousand".