52608 has 32 divisors (see below), whose sum is σ = 140760. Its totient is φ = 17408.

The previous prime is 52583. The next prime is 52609. The reversal of 52608 is 80625.

It is a happy number.

52608 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (32).

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 52608.

It is not an unprimeable number, because it can be changed into a prime (52609) by changing a digit.

52608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 316 + ... + 452.

2⁵²⁶⁰⁸ 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 52608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70380).

52608 is an abundant number, since it is smaller than the sum of its proper divisors (88152).

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

52608 is a wasteful number, since it uses less digits than its factorization.

52608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 52608 is about 229.3643389893. The cubic root of 52608 is about 37.4700204836.

The spelling of 52608 in words is "fifty-two thousand, six hundred eight".