126267768 has 128 divisors (see below), whose sum is σ = 402912000. Its totient is φ = 36236160.

The previous prime is 126267767. The next prime is 126267781. The reversal of 126267768 is 867762621.

126267768 is a `hidden beast` number, since 12 + 626 + 7 + 7 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126267761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43746 + ... + 46542.

It is an arithmetic number, because the mean of its divisors is an integer number (3147750).

Almost surely, 2^126267768 is an apocalyptic number.

126267768 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 126267768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201456000).

126267768 is an abundant number, since it is smaller than the sum of its proper divisors (276644232).

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

126267768 is a wasteful number, since it uses less digits than its factorization.

126267768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2832 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 126267768 is about 11236.8931649278. The cubic root of 126267768 is about 501.6846747005.

The spelling of 126267768 in words is "one hundred twenty-six million, two hundred sixty-seven thousand, seven hundred sixty-eight".