630168 has 96 divisors (see below), whose sum is σ = 2042880. Its totient is φ = 158400.

The previous prime is 630167. The next prime is 630169. The reversal of 630168 is 861036.

630168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (630167) and next prime (630169).

It is a super-2 number, since 2×630168² = 794223416448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20313 + ... + 20343.

It is an arithmetic number, because the mean of its divisors is an integer number (21280).

2⁶³⁰¹⁶⁸ 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 630168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021440).

630168 is an abundant number, since it is smaller than the sum of its proper divisors (1412712).

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

630168 is a wasteful number, since it uses less digits than its factorization.

630168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 630168 is about 793.8312163174. The cubic root of 630168 is about 85.7338082516.

The spelling of 630168 in words is "six hundred thirty thousand, one hundred sixty-eight".