1768 has 16 divisors (see below), whose sum is σ = 3780. Its totient is φ = 768.

The previous prime is 1759. The next prime is 1777. The reversal of 1768 is 8671.

It is an interprime number because it is at equal distance from previous prime (1759) and next prime (1777).

It can be written as a sum of positive squares in 2 ways, for example, as 1764 + 4 = 42^2 + 2^2 .

It is a plaindrome in base 11 and base 15.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96 + ... + 112.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890).

1768 is an abundant number, since it is smaller than the sum of its proper divisors (2012).

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

1768 is a wasteful number, since it uses less digits than its factorization.

1768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 32 counting only the distinct ones).

The product of its digits is 336, while the sum is 22.

The square root of 1768 is about 42.0475920833. The cubic root of 1768 is about 12.0918871920.

Subtracting 1768 from its reverse (8671), we obtain a triangular number (6903 = T₁₁₇).

It can be divided in two parts, 17 and 68, that multiplied together give a square (1156 = 34²).

The spelling of 1768 in words is "one thousand, seven hundred sixty-eight".