13580020 has 24 divisors (see below), whose sum is σ = 29215368. Its totient is φ = 5299200.

The previous prime is 13580011. The next prime is 13580023. The reversal of 13580020 is 2008531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 820836 + 12759184 = 906^2 + 3572^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13580020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13580023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7461 + ... + 9100.

It is an arithmetic number, because the mean of its divisors is an integer number (1217307).

Almost surely, 2^13580020 is an apocalyptic number.

13580020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13580020 is an abundant number, since it is smaller than the sum of its proper divisors (15635348).

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

13580020 is a wasteful number, since it uses less digits than its factorization.

13580020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16611 (or 16609 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 13580020 is about 3685.1078681634. The cubic root of 13580020 is about 238.5796899485.

Adding to 13580020 its reverse (2008531), we get a palindrome (15588551).

The spelling of 13580020 in words is "thirteen million, five hundred eighty thousand, twenty".