126408 has 32 divisors (see below), whose sum is σ = 331200. Its totient is φ = 40128.

The previous prime is 126397. The next prime is 126421. The reversal of 126408 is 804621.

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, 438 + ... + 666.

It is an arithmetic number, because the mean of its divisors is an integer number (10350).

2¹²⁶⁴⁰⁸ 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 126408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165600).

126408 is an abundant number, since it is smaller than the sum of its proper divisors (204792).

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

126408 is a wasteful number, since it uses less digits than its factorization.

126408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 126408 is about 355.5390273936. The cubic root of 126408 is about 50.1870328354.

The spelling of 126408 in words is "one hundred twenty-six thousand, four hundred eight".