66264 has 32 divisors (see below), whose sum is σ = 181440. Its totient is φ = 20000.

The previous prime is 66239. The next prime is 66271. The reversal of 66264 is 46266.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66264.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁶⁶²⁶⁴ 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 66264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

66264 is an abundant number, since it is smaller than the sum of its proper divisors (115176).

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

66264 is a wasteful number, since it uses less digits than its factorization.

66264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 66264 is about 257.4179480922. The cubic root of 66264 is about 40.4662117215.

It can be divided in two parts, 66 and 264, that multiplied together give a square (17424 = 132²).

The spelling of 66264 in words is "sixty-six thousand, two hundred sixty-four".