68540 has 24 divisors (see below), whose sum is σ = 151200. Its totient is φ = 26048.

The previous prime is 68539. The next prime is 68543. The reversal of 68540 is 4586.

68540 = T₈₈ + T₈₉ + ... + T₁₀₂.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386 + ... + 534.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁶⁸⁵⁴⁰ 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 68540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

68540 is an abundant number, since it is smaller than the sum of its proper divisors (82660).

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

68540 is a wasteful number, since it uses less digits than its factorization.

68540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 68540 is about 261.8014514857. The cubic root of 68540 is about 40.9243100875.

The spelling of 68540 in words is "sixty-eight thousand, five hundred forty".