127631360 has 128 divisors (see below), whose sum is σ = 330296400. Its totient is φ = 47185920.

The previous prime is 127631333. The next prime is 127631363. The reversal of 127631360 is 63136721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127631363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3112940 + ... + 3112980.

Almost surely, 2^127631360 is an apocalyptic number.

127631360 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 127631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165148200).

127631360 is an abundant number, since it is smaller than the sum of its proper divisors (202665040).

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

127631360 is an frugal number, since it uses more digits than its factorization.

127631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 127631360 is about 11297.4050117715. The cubic root of 127631360 is about 503.4841450729.

The spelling of 127631360 in words is "one hundred twenty-seven million, six hundred thirty-one thousand, three hundred sixty".