675168 has 48 divisors (see below), whose sum is σ = 1912176. Its totient is φ = 207360.

The previous prime is 675163. The next prime is 675173. The reversal of 675168 is 861576.

It is an interprime number because it is at equal distance from previous prime (675163) and next prime (675173).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675161) by changing a digit.

675168 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, 978 + ... + 1518.

It is an arithmetic number, because the mean of its divisors is an integer number (39837).

2⁶⁷⁵¹⁶⁸ 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 675168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956088).

675168 is an abundant number, since it is smaller than the sum of its proper divisors (1237008).

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

675168 is a wasteful number, since it uses less digits than its factorization.

675168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 559 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 675168 is about 821.6860714409. The cubic root of 675168 is about 87.7278090980.

The spelling of 675168 in words is "six hundred seventy-five thousand, one hundred sixty-eight".