13626000 has 120 divisors (see below), whose sum is σ = 47653944. Its totient is φ = 3628800.

The previous prime is 13625951. The next prime is 13626001. The reversal of 13626000 is 62631.

It is a happy number.

13626000 is a `hidden beast` number, since 1 + 3 + 62 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 318096 + 13307904 = 564^2 + 3648^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13626001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17622 + ... + 18378.

Almost surely, 2^13626000 is an apocalyptic number.

13626000 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 13626000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23826972).

13626000 is an abundant number, since it is smaller than the sum of its proper divisors (34027944).

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

13626000 is a wasteful number, since it uses less digits than its factorization.

13626000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13626000 is about 3691.3412196653. The cubic root of 13626000 is about 238.8486521580.

Adding to 13626000 its reverse (62631), we get a palindrome (13688631).

The spelling of 13626000 in words is "thirteen million, six hundred twenty-six thousand".