55808 has 20 divisors (see below), whose sum is σ = 112530. Its totient is φ = 27648.

The previous prime is 55807. The next prime is 55813. The reversal of 55808 is 80855.

It can be written as a sum of positive squares in only one way, i.e., 43264 + 12544 = 208^2 + 112^2 .

It is a super-2 number, since 2×55808² = 6229065728, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (55807) by changing a digit.

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 as a sum of consecutive naturals, namely, 458 + ... + 566.

2⁵⁵⁸⁰⁸ 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 55808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56265).

55808 is an abundant number, since it is smaller than the sum of its proper divisors (56722).

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

55808 is an equidigital number, since it uses as much as digits as its factorization.

55808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 55808 is about 236.2371689637. The cubic root of 55808 is about 38.2148494483.

The spelling of 55808 in words is "fifty-five thousand, eight hundred eight".