345168 has 80 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 105984.

The previous prime is 345143. The next prime is 345181. The reversal of 345168 is 861543.

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

345168 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, 7321 + ... + 7367.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2³⁴⁵¹⁶⁸ 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 345168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

345168 is an abundant number, since it is smaller than the sum of its proper divisors (726192).

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

345168 is a wasteful number, since it uses less digits than its factorization.

345168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 69 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 345168 is about 587.5099999149. The cubic root of 345168 is about 70.1471733479.

The spelling of 345168 in words is "three hundred forty-five thousand, one hundred sixty-eight".