56766 has 8 divisors (see below), whose sum is σ = 113544. Its totient is φ = 18920.

The previous prime is 56747. The next prime is 56767. The reversal of 56766 is 66765.

It is a sphenic number, since it is the product of 3 distinct primes.

56766 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56767) by changing a digit.

56766 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4725 + ... + 4736.

It is an arithmetic number, because the mean of its divisors is an integer number (14193).

2⁵⁶⁷⁶⁶ is an apocalyptic number.

56766 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56772).

56766 is a wasteful number, since it uses less digits than its factorization.

56766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9466.

The product of its digits is 7560, while the sum is 30.

The square root of 56766 is about 238.2561646632. The cubic root of 56766 is about 38.4322753821.

Subtracting 56766 from its reverse (66765), we obtain a palindrome (9999).

The spelling of 56766 in words is "fifty-six thousand, seven hundred sixty-six".