68120 has 32 divisors (see below), whose sum is σ = 166320. Its totient is φ = 24960.

The previous prime is 68113. The next prime is 68141. The reversal of 68120 is 2186.

68120 = T₅₉ + T₆₀ + ... + T₈₄.

It is a Cunningham number, because it is equal to 261²-1.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

68120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 455 + ... + 585.

2⁶⁸¹²⁰ 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 68120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83160).

68120 is an abundant number, since it is smaller than the sum of its proper divisors (98200).

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

68120 is a wasteful number, since it uses less digits than its factorization.

68120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 68120 is about 260.9980842842. The cubic root of 68120 is about 40.8405466455.

The spelling of 68120 in words is "sixty-eight thousand, one hundred twenty".