13586980 has 48 divisors (see below), whose sum is σ = 31409280. Its totient is φ = 4896000.

The previous prime is 13586977. The next prime is 13586983. The reversal of 13586980 is 8968531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13586977) and next prime (13586983).

It is not an unprimeable number, because it can be changed into a prime (13586983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33016 + ... + 33424.

It is an arithmetic number, because the mean of its divisors is an integer number (654360).

Almost surely, 2^13586980 is an apocalyptic number.

13586980 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 13586980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15704640).

13586980 is an abundant number, since it is smaller than the sum of its proper divisors (17822300).

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

13586980 is a wasteful number, since it uses less digits than its factorization.

13586980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 13586980 is about 3686.0520886173. The cubic root of 13586980 is about 238.6204417550.

It can be divided in two parts, 1358 and 6980, that added together give a palindrome (8338).

The spelling of 13586980 in words is "thirteen million, five hundred eighty-six thousand, nine hundred eighty".