13662640 has 40 divisors (see below), whose sum is σ = 32252400. Its totient is φ = 5381376.

The previous prime is 13662629. The next prime is 13662643. The reversal of 13662640 is 4626631.

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

It is a junction number, because it is equal to n+sod(n) for n = 13662599 and 13662608.

It is not an unprimeable number, because it can be changed into a prime (13662643) by changing a digit.

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, 4086 + ... + 6634.

It is an arithmetic number, because the mean of its divisors is an integer number (806310).

Almost surely, 2^13662640 is an apocalyptic number.

13662640 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 13662640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16126200).

13662640 is an abundant number, since it is smaller than the sum of its proper divisors (18589760).

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

13662640 is a wasteful number, since it uses less digits than its factorization.

13662640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 13662640 is about 3696.3008535562. The cubic root of 13662640 is about 239.0625467270.

The spelling of 13662640 in words is "thirteen million, six hundred sixty-two thousand, six hundred forty".