351168 has 56 divisors (see below), whose sum is σ = 975360. Its totient is φ = 111360.

The previous prime is 351157. The next prime is 351179. The reversal of 351168 is 861153.

It is an interprime number because it is at equal distance from previous prime (351157) and next prime (351179).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

351168 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, 5923 + ... + 5981.

2³⁵¹¹⁶⁸ 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 351168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487680).

351168 is an abundant number, since it is smaller than the sum of its proper divisors (624192).

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

351168 is a wasteful number, since it uses less digits than its factorization.

351168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 351168 is about 592.5942962938. The cubic root of 351168 is about 70.5512930880.

The spelling of 351168 in words is "three hundred fifty-one thousand, one hundred sixty-eight".