126881760 has 96 divisors (see below), whose sum is σ = 412618752. Its totient is φ = 32739840.

The previous prime is 126881759. The next prime is 126881771. The reversal of 126881760 is 67188621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 10617 + ... + 19143.

It is an arithmetic number, because the mean of its divisors is an integer number (4298112).

Almost surely, 2^126881760 is an apocalyptic number.

126881760 is a gapful number since it is divisible by the number (10) 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 126881760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206309376).

126881760 is an abundant number, since it is smaller than the sum of its proper divisors (285736992).

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

126881760 is a wasteful number, since it uses less digits than its factorization.

126881760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8576 (or 8568 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 126881760 is about 11264.1803962827. The cubic root of 126881760 is about 502.4965272897.

It can be divided in two parts, 1268 and 81760, that added together give a triangular number (83028 = T₄₀₇).

The spelling of 126881760 in words is "one hundred twenty-six million, eight hundred eighty-one thousand, seven hundred sixty".