60768 has 36 divisors (see below), whose sum is σ = 173628. Its totient is φ = 20160.

The previous prime is 60763. The next prime is 60773. The reversal of 60768 is 86706.

60768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (60763) and next prime (60773).

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60761) by changing a digit.

60768 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 5 ways as a sum of consecutive naturals, for example, 183 + ... + 393.

It is an arithmetic number, because the mean of its divisors is an integer number (4823).

2⁶⁰⁷⁶⁸ 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 60768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86814).

60768 is an abundant number, since it is smaller than the sum of its proper divisors (112860).

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

60768 is a wasteful number, since it uses less digits than its factorization.

60768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 60768 is about 246.5116630101. The cubic root of 60768 is about 39.3150031096.

It can be divided in two parts, 6076 and 8, that added together give a square (6084 = 78²).

The spelling of 60768 in words is "sixty thousand, seven hundred sixty-eight".