52668 has 72 divisors (see below), whose sum is σ = 174720. Its totient is φ = 12960.

The previous prime is 52667. The next prime is 52673. The reversal of 52668 is 86625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2763 + ... + 2781.

2⁵²⁶⁶⁸ 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 52668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87360).

52668 is an abundant number, since it is smaller than the sum of its proper divisors (122052).

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

52668 is a wasteful number, since it uses less digits than its factorization.

52668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 42 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 52668 is about 229.4950979869. The cubic root of 52668 is about 37.4842600610.

The spelling of 52668 in words is "fifty-two thousand, six hundred sixty-eight".