53808 has 40 divisors (see below), whose sum is σ = 148800. Its totient is φ = 16704.

The previous prime is 53791. The next prime is 53813. The reversal of 53808 is 80835.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 883 + ... + 941.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

2⁵³⁸⁰⁸ 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 53808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400).

53808 is an abundant number, since it is smaller than the sum of its proper divisors (94992).

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

53808 is a wasteful number, since it uses less digits than its factorization.

53808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 53808 is about 231.9655146784. The cubic root of 53808 is about 37.7527811059.

It can be divided in two parts, 53 and 808, that multiplied together give a palindrome (42824).

The spelling of 53808 in words is "fifty-three thousand, eight hundred eight".