11966580 has 72 divisors (see below), whose sum is σ = 38220000. Its totient is φ = 3022272.

The previous prime is 11966573. The next prime is 11966593. The reversal of 11966580 is 8566911.

11966580 is a `hidden beast` number, since 1 + 19 + 66 + 580 = 666.

11966580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1671 + ... + 5169.

Almost surely, 2^11966580 is an apocalyptic number.

11966580 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 11966580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19110000).

11966580 is an abundant number, since it is smaller than the sum of its proper divisors (26253420).

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

11966580 is a wasteful number, since it uses less digits than its factorization.

11966580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 11966580 is about 3459.2744904098. The cubic root of 11966580 is about 228.7301156235.

It can be divided in two parts, 1196 and 6580, that added together give a 5-th power (7776 = 6⁵).

The spelling of 11966580 in words is "eleven million, nine hundred sixty-six thousand, five hundred eighty".