66444 has 36 divisors (see below), whose sum is σ = 181944. Its totient is φ = 18816.

The previous prime is 66431. The next prime is 66449. The reversal of 66444 is 44466.

66444 = 10² + 11² + ... + 58².

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 9.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (66449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 532 + ... + 644.

It is an arithmetic number, because the mean of its divisors is an integer number (5054).

2⁶⁶⁴⁴⁴ 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 66444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90972).

66444 is an abundant number, since it is smaller than the sum of its proper divisors (115500).

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

66444 is a wasteful number, since it uses less digits than its factorization.

66444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 66444 is about 257.7673369533. The cubic root of 66444 is about 40.5028194958.

The spelling of 66444 in words is "sixty-six thousand, four hundred forty-four".