126881568 has 144 divisors (see below), whose sum is σ = 398073312. Its totient is φ = 38332800.

The previous prime is 126881549. The next prime is 126881581. The reversal of 126881568 is 865188621.

126881568 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 81 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 383163 + ... + 383493.

It is an arithmetic number, because the mean of its divisors is an integer number (2764398).

Almost surely, 2^126881568 is an apocalyptic number.

126881568 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 126881568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199036656).

126881568 is an abundant number, since it is smaller than the sum of its proper divisors (271191744).

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

126881568 is a wasteful number, since it uses less digits than its factorization.

126881568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 347 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 126881568 is about 11264.1718736887. The cubic root of 126881568 is about 502.4962738270.

It can be divided in two parts, 126881 and 568, that added together give a square (127449 = 357²).

The spelling of 126881568 in words is "one hundred twenty-six million, eight hundred eighty-one thousand, five hundred sixty-eight".