13623540 has 96 divisors (see below), whose sum is σ = 44083200. Its totient is φ = 3079296.

The previous prime is 13623523. The next prime is 13623541. The reversal of 13623540 is 4532631.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13623540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13623541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68361 + ... + 68559.

It is an arithmetic number, because the mean of its divisors is an integer number (459200).

Almost surely, 2^13623540 is an apocalyptic number.

13623540 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 13623540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22041600).

13623540 is an abundant number, since it is smaller than the sum of its proper divisors (30459660).

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

13623540 is a wasteful number, since it uses less digits than its factorization.

13623540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 13623540 is about 3691.0079924053. The cubic root of 13623540 is about 238.8342776033.

Subtracting from 13623540 its reverse (4532631), we obtain a palindrome (9090909).

The spelling of 13623540 in words is "thirteen million, six hundred twenty-three thousand, five hundred forty".