55760 has 40 divisors (see below), whose sum is σ = 140616. Its totient is φ = 20480.

The previous prime is 55733. The next prime is 55763. The reversal of 55760 is 6755.

55760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1936 + 53824 = 44^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55763) by changing a digit.

55760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1340 + ... + 1380.

2⁵⁵⁷⁶⁰ 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 55760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70308).

55760 is an abundant number, since it is smaller than the sum of its proper divisors (84856).

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

55760 is a wasteful number, since it uses less digits than its factorization.

55760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 55760 is about 236.1355542903. The cubic root of 55760 is about 38.2038902135.

The spelling of 55760 in words is "fifty-five thousand, seven hundred sixty".