53768 has 32 divisors (see below), whose sum is σ = 120960. Its totient is φ = 22080.

The previous prime is 53759. The next prime is 53773. The reversal of 53768 is 86735.

It is a self number, because there is not a number n which added to its sum of digits gives 53768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1121 + ... + 1167.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁵³⁷⁶⁸ 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 53768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

53768 is an abundant number, since it is smaller than the sum of its proper divisors (67192).

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

53768 is a wasteful number, since it uses less digits than its factorization.

53768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 73 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 53768 is about 231.8792789363. The cubic root of 53768 is about 37.7434238505.

It can be divided in two parts, 53 and 768, that multiplied together give a palindrome (40704).

The spelling of 53768 in words is "fifty-three thousand, seven hundred sixty-eight".