11966256 has 60 divisors (see below), whose sum is σ = 34954608. Its totient is φ = 3814272.

The previous prime is 11966243. The next prime is 11966261. The reversal of 11966256 is 65266911.

11966256 is digitally balanced in base 2 and base 4, because in such bases 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 self number, because there is not a number n which added to its sum of digits gives 11966256.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1506 + ... + 5118.

Almost surely, 2^11966256 is an apocalyptic number.

11966256 is a gapful number since it is divisible by the number (16) 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 11966256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17477304).

11966256 is an abundant number, since it is smaller than the sum of its proper divisors (22988352).

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

11966256 is a wasteful number, since it uses less digits than its factorization.

11966256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3641 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 11966256 is about 3459.2276594639. The cubic root of 11966256 is about 228.7280512847.

The spelling of 11966256 in words is "eleven million, nine hundred sixty-six thousand, two hundred fifty-six".