11986580 has 24 divisors (see below), whose sum is σ = 25236960. Its totient is φ = 4782240.

The previous prime is 11986577. The next prime is 11986627. The reversal of 11986580 is 8568911.

11986580 is nontrivially palindromic in base 9.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14375 + ... + 15185.

It is an arithmetic number, because the mean of its divisors is an integer number (1051540).

Almost surely, 2^11986580 is an apocalyptic number.

11986580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11986580 is an abundant number, since it is smaller than the sum of its proper divisors (13250380).

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

11986580 is a wasteful number, since it uses less digits than its factorization.

11986580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 38.

The square root of 11986580 is about 3462.1640631258. The cubic root of 11986580 is about 228.8574718699.

The spelling of 11986580 in words is "eleven million, nine hundred eighty-six thousand, five hundred eighty".