13986000 has 320 divisors, whose sum is σ = 58805760. Its totient is φ = 3110400.

The previous prime is 13985989. The next prime is 13986013. The reversal of 13986000 is 68931.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 377982 + ... + 378018.

It is an arithmetic number, because the mean of its divisors is an integer number (183768).

Almost surely, 2^13986000 is an apocalyptic number.

13986000 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 13986000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29402880).

13986000 is an abundant number, since it is smaller than the sum of its proper divisors (44819760).

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

13986000 is a wasteful number, since it uses less digits than its factorization.

13986000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13986000 is about 3739.7860901394. The cubic root of 13986000 is about 240.9338615478.

The spelling of 13986000 in words is "thirteen million, nine hundred eighty-six thousand".