60680 has 32 divisors (see below), whose sum is σ = 143640. Its totient is φ = 23040.

The previous prime is 60679. The next prime is 60689. The reversal of 60680 is 8606.

It can be written as a sum of positive squares in 4 ways, for example, as 45796 + 14884 = 214^2 + 122^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1460 + ... + 1500.

2⁶⁰⁶⁸⁰ 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 60680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71820).

60680 is an abundant number, since it is smaller than the sum of its proper divisors (82960).

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

60680 is a wasteful number, since it uses less digits than its factorization.

60680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 60680 is about 246.3331078032. Note that the first 3 decimals coincide. The cubic root of 60680 is about 39.2960161885.

It can be divided in two parts, 606 and 80, that added together give a palindrome (686).

The spelling of 60680 in words is "sixty thousand, six hundred eighty".