13580820 has 144 divisors (see below), whose sum is σ = 47436480. Its totient is φ = 3119040.

The previous prime is 13580783. The next prime is 13580869. The reversal of 13580820 is 2808531.

It is a happy number.

13580820 is a `hidden beast` number, since 1 + 3 + 580 + 82 + 0 = 666.

13580820 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 714771 + ... + 714789.

It is an arithmetic number, because the mean of its divisors is an integer number (329420).

Almost surely, 2^13580820 is an apocalyptic number.

13580820 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 13580820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23718240).

13580820 is an abundant number, since it is smaller than the sum of its proper divisors (33855660).

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

13580820 is a wasteful number, since it uses less digits than its factorization.

13580820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 13580820 is about 3685.2164115558. The cubic root of 13580820 is about 238.5843747723.

It can be divided in two parts, 13580 and 820, that added together give a square (14400 = 120²).

The spelling of 13580820 in words is "thirteen million, five hundred eighty thousand, eight hundred twenty".