126816768 has 240 divisors, whose sum is σ = 413332920. Its totient is φ = 37158912.

The previous prime is 126816727. The next prime is 126816791. The reversal of 126816768 is 867618621.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 93083904 + 33732864 = 9648^2 + 5808^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1737180 + ... + 1737252.

Almost surely, 2^126816768 is an apocalyptic number.

126816768 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 126816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206666460).

126816768 is an abundant number, since it is smaller than the sum of its proper divisors (286516152).

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

126816768 is a wasteful number, since it uses less digits than its factorization.

126816768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 126816768 is about 11261.2951297797. The cubic root of 126816768 is about 502.4107155544.

The spelling of 126816768 in words is "one hundred twenty-six million, eight hundred sixteen thousand, seven hundred sixty-eight".