11677056 has 64 divisors (see below), whose sum is σ = 31726080. Its totient is φ = 3803648.

The previous prime is 11677033. The next prime is 11677063. The reversal of 11677056 is 65077611.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 17725 + ... + 18371.

It is an arithmetic number, because the mean of its divisors is an integer number (495720).

Almost surely, 2^11677056 is an apocalyptic number.

11677056 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 11677056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863040).

11677056 is an abundant number, since it is smaller than the sum of its proper divisors (20049024).

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

11677056 is an equidigital number, since it uses as much as digits as its factorization.

11677056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 11677056 is about 3417.1707595612. The cubic root of 11677056 is about 226.8703743488.

The spelling of 11677056 in words is "eleven million, six hundred seventy-seven thousand, fifty-six".