55768 has 8 divisors (see below), whose sum is σ = 104580. Its totient is φ = 27880.

The previous prime is 55763. The next prime is 55787. The reversal of 55768 is 86755.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×55768² = 6220139648, which contains 22 as substring.

It is a plaindrome in base 11 and base 15.

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is a congruent number.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3478 + ... + 3493.

2⁵⁵⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

55768 is a deficient number, since it is larger than the sum of its proper divisors (48812).

55768 is a wasteful number, since it uses less digits than its factorization.

55768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6977 (or 6973 counting only the distinct ones).

The product of its digits is 8400, while the sum is 31.

The square root of 55768 is about 236.1524931056. The cubic root of 55768 is about 38.2057171893.

It can be divided in two parts, 557 and 68, that added together give a 4-th power (625 = 5⁴).

The spelling of 55768 in words is "fifty-five thousand, seven hundred sixty-eight".