13623040 has 72 divisors (see below), whose sum is σ = 33848640. Its totient is φ = 5246976.

The previous prime is 13623037. The next prime is 13623053. The reversal of 13623040 is 4032631.

It is a junction number, because it is equal to n+sod(n) for n = 13622999 and 13623017.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36937 + ... + 37303.

It is an arithmetic number, because the mean of its divisors is an integer number (470120).

Almost surely, 2^13623040 is an apocalyptic number.

13623040 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 13623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16924320).

13623040 is an abundant number, since it is smaller than the sum of its proper divisors (20225600).

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

13623040 is an equidigital number, since it uses as much as digits as its factorization.

13623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 13623040 is about 3690.9402596087. The cubic root of 13623040 is about 238.8313557342.

Adding to 13623040 its reverse (4032631), we get a palindrome (17655671).

The spelling of 13623040 in words is "thirteen million, six hundred twenty-three thousand, forty".