68760 has 48 divisors (see below), whose sum is σ = 224640. Its totient is φ = 18240.

The previous prime is 68749. The next prime is 68767. The reversal of 68760 is 6786.

68760 = T₂₁ + T₂₂ + ... + T₇₄.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2⁶⁸⁷⁶⁰ is an apocalyptic number.

68760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112320).

68760 is an abundant number, since it is smaller than the sum of its proper divisors (155880).

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

68760 is a wasteful number, since it uses less digits than its factorization.

68760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 201 counting only the distinct ones).

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

The square root of 68760 is about 262.2212806009. The cubic root of 68760 is about 40.9680496671.

It can be divided in two parts, 687 and 60, that added together give a palindrome (747).

The spelling of 68760 in words is "sixty-eight thousand, seven hundred sixty".