627168 has 48 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 203136.

The previous prime is 627163. The next prime is 627169. The reversal of 627168 is 861726.

It is a happy number.

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 (627163) by changing a digit.

627168 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, 4443 + ... + 4581.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2⁶²⁷¹⁶⁸ 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 627168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

627168 is an abundant number, since it is smaller than the sum of its proper divisors (1066272).

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

627168 is a wasteful number, since it uses less digits than its factorization.

627168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 627168 is about 791.9393916203. The cubic root of 627168 is about 85.5975426552.

The spelling of 627168 in words is "six hundred twenty-seven thousand, one hundred sixty-eight".