1968 has 20 divisors (see below), whose sum is σ = 5208. Its totient is φ = 640.

The previous prime is 1951. The next prime is 1973. The reversal of 1968 is 8691.

1968 = T₇ + T₈ + ... + T₂₂.

It is a super-3 number, since 3×1968³ = 22866333696, which contains 333 as substring.

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

It is an Ulam number.

1968 is an undulating number in base 9.

It is a nialpdrome in base 7 and base 13.

It is a zygodrome in base 7.

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, 28 + ... + 68.

2¹⁹⁶⁸ 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 1968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604).

1968 is an abundant number, since it is smaller than the sum of its proper divisors (3240).

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

1968 is a wasteful number, since it uses less digits than its factorization.

1968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 46 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 1968 is about 44.3621460256. The cubic root of 1968 is about 12.5316531121.

It can be divided in two parts, 1 and 968, that added together give a palindrome (969).

The spelling of 1968 in words is "one thousand, nine hundred sixty-eight".