53856 has 72 divisors (see below), whose sum is σ = 176904. Its totient is φ = 15360.

The previous prime is 53849. The next prime is 53857. The reversal of 53856 is 65835.

It is a tau number, because it is divible by the number of its divisors (72).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3160 + ... + 3176.

It is an arithmetic number, because the mean of its divisors is an integer number (2457).

2⁵³⁸⁵⁶ 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 53856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452).

53856 is an abundant number, since it is smaller than the sum of its proper divisors (123048).

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

53856 is a wasteful number, since it uses less digits than its factorization.

53856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 33 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 53856 is about 232.0689552698. The cubic root of 53856 is about 37.7640036931.

It can be divided in two parts, 53 and 856, that added together give a palindrome (909).

The spelling of 53856 in words is "fifty-three thousand, eight hundred fifty-six".