66774 has 16 divisors (see below), whose sum is σ = 138240. Its totient is φ = 21480.

The previous prime is 66763. The next prime is 66791. The reversal of 66774 is 47766.

It is a congruent number.

It is an unprimeable number.

66774 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 7 + ... + 365.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2⁶⁶⁷⁷⁴ is an apocalyptic number.

66774 is an abundant number, since it is smaller than the sum of its proper divisors (71466).

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 (69120).

66774 is a wasteful number, since it uses less digits than its factorization.

66774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395.

The product of its digits is 7056, while the sum is 30.

The square root of 66774 is about 258.4066562610. The cubic root of 66774 is about 40.5697624031.

It can be divided in two parts, 667 and 74, that added together give a triangular number (741 = T₃₈).

The spelling of 66774 in words is "sixty-six thousand, seven hundred seventy-four".