11966560 has 48 divisors (see below), whose sum is σ = 29257200. Its totient is φ = 4619776.

The previous prime is 11966543. The next prime is 11966573. The reversal of 11966560 is 6566911.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3351 + ... + 5929.

It is an arithmetic number, because the mean of its divisors is an integer number (609525).

Almost surely, 2^11966560 is an apocalyptic number.

11966560 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 11966560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14628600).

11966560 is an abundant number, since it is smaller than the sum of its proper divisors (17290640).

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

11966560 is a wasteful number, since it uses less digits than its factorization.

11966560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 11966560 is about 3459.2715996290. The cubic root of 11966560 is about 228.7299881963.

The spelling of 11966560 in words is "eleven million, nine hundred sixty-six thousand, five hundred sixty".