52640 has 48 divisors (see below), whose sum is σ = 145152. Its totient is φ = 17664.

The previous prime is 52639. The next prime is 52667. The reversal of 52640 is 4625.

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 52640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1097 + ... + 1143.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2⁵²⁶⁴⁰ 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 52640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576).

52640 is an abundant number, since it is smaller than the sum of its proper divisors (92512).

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

52640 is a wasteful number, since it uses less digits than its factorization.

52640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 52640 is about 229.4340863952. The cubic root of 52640 is about 37.4776162715.

The spelling of 52640 in words is "fifty-two thousand, six hundred forty".