13662040 has 64 divisors (see below), whose sum is σ = 35769600. Its totient is φ = 4599168.

The previous prime is 13662031. The next prime is 13662043. The reversal of 13662040 is 4026631.

13662040 = T₄₂₁ + T₄₂₂ + ... + T₅₃₈.

13662040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13662043) 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, 16107 + ... + 16933.

It is an arithmetic number, because the mean of its divisors is an integer number (558900).

Almost surely, 2^13662040 is an apocalyptic number.

13662040 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 13662040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17884800).

13662040 is an abundant number, since it is smaller than the sum of its proper divisors (22107560).

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

13662040 is a wasteful number, since it uses less digits than its factorization.

13662040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 13662040 is about 3696.2196904405. The cubic root of 13662040 is about 239.0590471684.

Adding to 13662040 its reverse (4026631), we get a palindrome (17688671).

The spelling of 13662040 in words is "thirteen million, six hundred sixty-two thousand, forty".