66056 has 16 divisors (see below), whose sum is σ = 129600. Its totient is φ = 31504.

The previous prime is 66047. The next prime is 66067. The reversal of 66056 is 65066.

66056 = T₆₄ + T₆₅ + ... + T₈₆.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a plaindrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2⁶⁶⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

66056 is a deficient number, since it is larger than the sum of its proper divisors (63544).

66056 is a wasteful number, since it uses less digits than its factorization.

66056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 66056 is about 257.0136183162. The cubic root of 66056 is about 40.4238267448.

Subtracting from 66056 its reverse (65066), we obtain a triangular number (990 = T₄₄).

The spelling of 66056 in words is "sixty-six thousand, fifty-six", and thus it is an eban number.