52896 has 48 divisors (see below), whose sum is σ = 151200. Its totient is φ = 16128.

The previous prime is 52889. The next prime is 52901. The reversal of 52896 is 69825.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

52896 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 1810 + ... + 1838.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

2⁵²⁸⁹⁶ 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 52896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

52896 is an abundant number, since it is smaller than the sum of its proper divisors (98304).

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

52896 is a wasteful number, since it uses less digits than its factorization.

52896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 53 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 52896 is about 229.9913041834. The cubic root of 52896 is about 37.5382720379.

The spelling of 52896 in words is "fifty-two thousand, eight hundred ninety-six".