68288 has 28 divisors (see below), whose sum is σ = 149352. Its totient is φ = 30720.

The previous prime is 68281. The next prime is 68311. The reversal of 68288 is 88286.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (68281) by changing a digit.

68288 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 3 ways as a sum of consecutive naturals, for example, 656 + ... + 752.

It is an arithmetic number, because the mean of its divisors is an integer number (5334).

2⁶⁸²⁸⁸ 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 68288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74676).

68288 is an abundant number, since it is smaller than the sum of its proper divisors (81064).

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

68288 is a wasteful number, since it uses less digits than its factorization.

68288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 68288 is about 261.3197275370. The cubic root of 68288 is about 40.8740932256.

The spelling of 68288 in words is "sixty-eight thousand, two hundred eighty-eight".