68960 has 24 divisors (see below), whose sum is σ = 163296. Its totient is φ = 27520.

The previous prime is 68947. The next prime is 68963. The reversal of 68960 is 6986.

68960 = T₄₉ + T₅₀ + ... + T₈₀.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56 + ... + 375.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2⁶⁸⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

68960 is an abundant number, since it is smaller than the sum of its proper divisors (94336).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648).

68960 is a wasteful number, since it uses less digits than its factorization.

68960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 68960 is about 262.6023609947. The cubic root of 68960 is about 41.0077320337.

The spelling of 68960 in words is "sixty-eight thousand, nine hundred sixty".