126127368 has 80 divisors (see below), whose sum is σ = 359370000. Its totient is φ = 41317344.

The previous prime is 126127343. The next prime is 126127373. The reversal of 126127368 is 863721621.

126127368 is a `hidden beast` number, since 1 + 2 + 612 + 7 + 36 + 8 = 666.

It is a super-2 number, since 2×126127368² = 31816225917214848, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 36583 + ... + 39881.

It is an arithmetic number, because the mean of its divisors is an integer number (4492125).

Almost surely, 2^126127368 is an apocalyptic number.

126127368 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 126127368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179685000).

126127368 is an abundant number, since it is smaller than the sum of its proper divisors (233242632).

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

126127368 is a wasteful number, since it uses less digits than its factorization.

126127368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3363 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 126127368 is about 11230.6441489346. The cubic root of 126127368 is about 501.4986608765.

Adding to 126127368 its reverse (863721621), we get a palindrome (989848989).

The spelling of 126127368 in words is "one hundred twenty-six million, one hundred twenty-seven thousand, three hundred sixty-eight".