13661000 has 64 divisors (see below), whose sum is σ = 33696000. Its totient is φ = 5169600.

The previous prime is 13660991. The next prime is 13661003. The reversal of 13661000 is 16631.

It is a self number, because there is not a number n which added to its sum of digits gives 13661000.

It is not an unprimeable number, because it can be changed into a prime (13661003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18641 + ... + 19359.

It is an arithmetic number, because the mean of its divisors is an integer number (526500).

Almost surely, 2^13661000 is an apocalyptic number.

13661000 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 13661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848000).

13661000 is an abundant number, since it is smaller than the sum of its proper divisors (20035000).

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

13661000 is a wasteful number, since it uses less digits than its factorization.

13661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 13661000 is about 3696.0790034846. The cubic root of 13661000 is about 239.0529810241.

Adding to 13661000 its reverse (16631), we get a palindrome (13677631).

The spelling of 13661000 in words is "thirteen million, six hundred sixty-one thousand".