13689000 has 240 divisors, whose sum is σ = 51814620. Its totient is φ = 3369600.

The previous prime is 13688989. The next prime is 13689017. The reversal of 13689000 is 98631.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 599076 + 13089924 = 774^2 + 3618^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1052994 + ... + 1053006.

Almost surely, 2^13689000 is an apocalyptic number.

13689000 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 13689000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25907310).

13689000 is an abundant number, since it is smaller than the sum of its proper divisors (38125620).

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

13689000 is a wasteful number, since it uses less digits than its factorization.

13689000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 23 counting only the distinct ones).

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

The square root of 13689000 is about 3699.8648623970. The cubic root of 13689000 is about 239.2161929806.

The spelling of 13689000 in words is "thirteen million, six hundred eighty-nine thousand".