68520 has 32 divisors (see below), whose sum is σ = 205920. Its totient is φ = 18240.

The previous prime is 68507. The next prime is 68521. The reversal of 68520 is 2586.

It is a happy number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (68521) 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, 166 + ... + 405.

It is an arithmetic number, because the mean of its divisors is an integer number (6435).

2⁶⁸⁵²⁰ is an apocalyptic number.

68520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68520 is an abundant number, since it is smaller than the sum of its proper divisors (137400).

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 (102960).

68520 is a wasteful number, since it uses less digits than its factorization.

68520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 68520 is about 261.7632518135. The cubic root of 68520 is about 40.9203291234.

The spelling of 68520 in words is "sixty-eight thousand, five hundred twenty".