334768 has 40 divisors (see below), whose sum is σ = 768800. Its totient is φ = 141120.

The previous prime is 334759. The next prime is 334771. The reversal of 334768 is 867433.

334768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×334768² = 224139227648, which contains 22 as substring.

It is an unprimeable number.

334768 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 7 ways as a sum of consecutive naturals, for example, 5458 + ... + 5518.

It is an arithmetic number, because the mean of its divisors is an integer number (19220).

2³³⁴⁷⁶⁸ 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 334768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384400).

334768 is an abundant number, since it is smaller than the sum of its proper divisors (434032).

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

334768 is an equidigital number, since it uses as much as digits as its factorization.

334768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 334768 is about 578.5913929536. The cubic root of 334768 is about 69.4354592938.

The spelling of 334768 in words is "three hundred thirty-four thousand, seven hundred sixty-eight".