126468 has 24 divisors (see below), whose sum is σ = 328160. Its totient is φ = 42120.

The previous prime is 126461. The next prime is 126473. The reversal of 126468 is 864621.

126468 is a `hidden beast` number, since 12 + 646 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (126461) by changing a digit.

126468 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, 478 + ... + 693.

2¹²⁶⁴⁶⁸ is an apocalyptic number.

126468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126468 is an abundant number, since it is smaller than the sum of its proper divisors (201692).

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

126468 is a wasteful number, since it uses less digits than its factorization.

126468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1176 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 126468 is about 355.6233963057. The cubic root of 126468 is about 50.1949720630.

The spelling of 126468 in words is "one hundred twenty-six thousand, four hundred sixty-eight".