13580406 has 64 divisors (see below), whose sum is σ = 35458560. Its totient is φ = 3771360.

The previous prime is 13580401. The next prime is 13580407. The reversal of 13580406 is 60408531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13580406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13580401) 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, 13501 + ... + 14471.

It is an arithmetic number, because the mean of its divisors is an integer number (554040).

Almost surely, 2^13580406 is an apocalyptic number.

13580406 is the 2331-st heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13580406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729280).

13580406 is an abundant number, since it is smaller than the sum of its proper divisors (21878154).

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

13580406 is a wasteful number, since it uses less digits than its factorization.

13580406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13580406 is about 3685.1602407494. The cubic root of 13580406 is about 238.5819503990.

Adding to 13580406 its reverse (60408531), we get a palindrome (73988937).

The spelling of 13580406 in words is "thirteen million, five hundred eighty thousand, four hundred six".