11785568 has 48 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 5529216.

The previous prime is 11785559. The next prime is 11785583. The reversal of 11785568 is 86558711.

11785568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11785568² = 277799226165248, which contains 22 as substring.

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, 49193 + ... + 49431.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 2^11785568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11785568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

11785568 is an abundant number, since it is smaller than the sum of its proper divisors (12890272).

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

11785568 is a wasteful number, since it uses less digits than its factorization.

11785568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its digits is 67200, while the sum is 41.

The square root of 11785568 is about 3433.0115059522. The cubic root of 11785568 is about 227.5709588256.

The spelling of 11785568 in words is "eleven million, seven hundred eighty-five thousand, five hundred sixty-eight".