68580 has 48 divisors (see below), whose sum is σ = 215040. Its totient is φ = 18144.

The previous prime is 68567. The next prime is 68581. The reversal of 68580 is 8586.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (68581) by changing a digit.

68580 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 15 ways as a sum of consecutive naturals, for example, 477 + ... + 603.

It is an arithmetic number, because the mean of its divisors is an integer number (4480).

2⁶⁸⁵⁸⁰ is an apocalyptic number.

68580 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 68580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107520).

68580 is an abundant number, since it is smaller than the sum of its proper divisors (146460).

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

68580 is a wasteful number, since it uses less digits than its factorization.

68580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 68580 is about 261.8778341135. The cubic root of 68580 is about 40.9322696929.

Adding to 68580 its product of nonzero digits (1920), we get a triangular number (70500 = T₃₇₅).

The spelling of 68580 in words is "sixty-eight thousand, five hundred eighty".