126942768 has 80 divisors (see below), whose sum is σ = 376166400. Its totient is φ = 40944960.

The previous prime is 126942733. The next prime is 126942779. The reversal of 126942768 is 867249621.

It is a happy number.

It is a super-2 number, since 2×126942768² = 32228932695003648, which contains 22 as substring.

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, 8653 + ... + 18131.

It is an arithmetic number, because the mean of its divisors is an integer number (4702080).

Almost surely, 2^126942768 is an apocalyptic number.

126942768 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 126942768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188083200).

126942768 is an abundant number, since it is smaller than the sum of its proper divisors (249223632).

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

126942768 is a wasteful number, since it uses less digits than its factorization.

126942768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9527 (or 9515 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 126942768 is about 11266.8881240563. Note that the first 3 decimals coincide. The cubic root of 126942768 is about 502.5770521185.

The spelling of 126942768 in words is "one hundred twenty-six million, nine hundred forty-two thousand, seven hundred sixty-eight".