66746 has 8 divisors (see below), whose sum is σ = 104544. Its totient is φ = 31900.

The previous prime is 66739. The next prime is 66749. The reversal of 66746 is 64766.

66746 = 69² + 70² + ... + 80².

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

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 680 + ... + 771.

It is an arithmetic number, because the mean of its divisors is an integer number (13068).

2⁶⁶⁷⁴⁶ is an apocalyptic number.

66746 is a deficient number, since it is larger than the sum of its proper divisors (37798).

66746 is a wasteful number, since it uses less digits than its factorization.

66746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476.

The product of its digits is 6048, while the sum is 29.

The square root of 66746 is about 258.3524724093. The cubic root of 66746 is about 40.5640909733.

The spelling of 66746 in words is "sixty-six thousand, seven hundred forty-six".