127971040 has 48 divisors (see below), whose sum is σ = 305363520. Its totient is φ = 50675200.

The previous prime is 127971029. The next prime is 127971043. The reversal of 127971040 is 40179721.

It is a junction number, because it is equal to n+sod(n) for n = 127970993 and 127971011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127971043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12201 + ... + 20119.

It is an arithmetic number, because the mean of its divisors is an integer number (6361740).

Almost surely, 2^127971040 is an apocalyptic number.

127971040 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 127971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152681760).

127971040 is an abundant number, since it is smaller than the sum of its proper divisors (177392480).

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

127971040 is a wasteful number, since it uses less digits than its factorization.

127971040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8035 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 127971040 is about 11312.4285633104. The cubic root of 127971040 is about 503.9304094728.

The spelling of 127971040 in words is "one hundred twenty-seven million, nine hundred seventy-one thousand, forty".