126005868 has 120 divisors (see below), whose sum is σ = 353788512. Its totient is φ = 39004416.

The previous prime is 126005861. The next prime is 126005879. The reversal of 126005868 is 868500621.

It is a happy number.

126005868 is a `hidden beast` number, since 12 + 60 + 0 + 586 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (126005861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 275496 + ... + 275952.

Almost surely, 2^126005868 is an apocalyptic number.

126005868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126005868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176894256).

126005868 is an abundant number, since it is smaller than the sum of its proper divisors (227782644).

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

126005868 is a wasteful number, since it uses less digits than its factorization.

126005868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 126005868 is about 11225.2335387733. The cubic root of 126005868 is about 501.3375759239.

The spelling of 126005868 in words is "one hundred twenty-six million, five thousand, eight hundred sixty-eight".