127261680 has 160 divisors (see below), whose sum is σ = 485635584. Its totient is φ = 26846208.

The previous prime is 127261679. The next prime is 127261697. The reversal of 127261680 is 86162721.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18927 + ... + 24753.

Almost surely, 2^127261680 is an apocalyptic number.

127261680 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 127261680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242817792).

127261680 is an abundant number, since it is smaller than the sum of its proper divisors (358373904).

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

127261680 is a wasteful number, since it uses less digits than its factorization.

127261680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5863 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 127261680 is about 11281.0318676972. The cubic root of 127261680 is about 502.9975666097.

The spelling of 127261680 in words is "one hundred twenty-seven million, two hundred sixty-one thousand, six hundred eighty".