168630 has 64 divisors (see below), whose sum is σ = 511488. Its totient is φ = 34560.

The previous prime is 168629. The next prime is 168631. The reversal of 168630 is 36861.

168630 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 (168629) and next prime (168631).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 168630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2274 + ... + 2346.

It is an arithmetic number, because the mean of its divisors is an integer number (7992).

2¹⁶⁸⁶³⁰ is an apocalyptic number.

168630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 168630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255744).

168630 is an abundant number, since it is smaller than the sum of its proper divisors (342858).

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

168630 is a wasteful number, since it uses less digits than its factorization.

168630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101.

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

The square root of 168630 is about 410.6458328049. The cubic root of 168630 is about 55.2473705948.

Subtracting from 168630 its reverse (36861), we obtain a square (131769 = 363²).

It can be divided in two parts, 16 and 8630, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 168630 in words is "one hundred sixty-eight thousand, six hundred thirty".