66744 has 40 divisors (see below), whose sum is σ = 188760. Its totient is φ = 22032.

The previous prime is 66739. The next prime is 66749. The reversal of 66744 is 44766.

It is an interprime number because it is at equal distance from previous prime (66739) and next prime (66749).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 597 + ... + 699.

It is an arithmetic number, because the mean of its divisors is an integer number (4719).

2⁶⁶⁷⁴⁴ 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 66744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94380).

66744 is an abundant number, since it is smaller than the sum of its proper divisors (122016).

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

66744 is a wasteful number, since it uses less digits than its factorization.

66744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 66744 is about 258.3486016993. The cubic root of 66744 is about 40.5636858105.

The spelling of 66744 in words is "sixty-six thousand, seven hundred forty-four".