167868 has 18 divisors (see below), whose sum is σ = 424424. Its totient is φ = 55944.

The previous prime is 167863. The next prime is 167873. The reversal of 167868 is 868761.

It is an interprime number because it is at equal distance from previous prime (167863) and next prime (167873).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4663 = 167868 / (1 + 6 + 7 + 8 + 6 + 8).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167861) by changing a digit.

167868 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2296 + ... + 2367.

2¹⁶⁷⁸⁶⁸ is an apocalyptic number.

167868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

167868 is an abundant number, since it is smaller than the sum of its proper divisors (256556).

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

167868 is a wasteful number, since it uses less digits than its factorization.

167868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673 (or 4668 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 167868 is about 409.7169754843. The cubic root of 167868 is about 55.1640282335.

It can be divided in two parts, 167 and 868, that added together give a triangular number (1035 = T₄₅).

The spelling of 167868 in words is "one hundred sixty-seven thousand, eight hundred sixty-eight".