126084168 has 64 divisors (see below), whose sum is σ = 400272000. Its totient is φ = 36023616.

The previous prime is 126084113. The next prime is 126084181. The reversal of 126084168 is 861480621.

126084168 is a `hidden beast` number, since 1 + 2 + 608 + 41 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40183 + ... + 43206.

It is an arithmetic number, because the mean of its divisors is an integer number (6254250).

Almost surely, 2^126084168 is an apocalyptic number.

126084168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126084168 is an abundant number, since it is smaller than the sum of its proper divisors (274187832).

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

126084168 is a wasteful number, since it uses less digits than its factorization.

126084168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83411 (or 83401 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 126084168 is about 11228.7206751259. The cubic root of 126084168 is about 501.4413980835.

The spelling of 126084168 in words is "one hundred twenty-six million, eighty-four thousand, one hundred sixty-eight".