126168 has 32 divisors (see below), whose sum is σ = 360960. Its totient is φ = 36000.

The previous prime is 126151. The next prime is 126173. The reversal of 126168 is 861621.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208 + ... + 543.

It is an arithmetic number, because the mean of its divisors is an integer number (11280).

2¹²⁶¹⁶⁸ is an apocalyptic number.

It is an amenable number.

126168 is an abundant number, since it is smaller than the sum of its proper divisors (234792).

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

126168 is a wasteful number, since it uses less digits than its factorization.

126168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 763 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 126168 is about 355.2013513488. The cubic root of 126168 is about 50.1552507783.

Adding to 126168 its reverse (861621), we get a palindrome (987789).

The spelling of 126168 in words is "one hundred twenty-six thousand, one hundred sixty-eight".