127868832 has 432 divisors, whose sum is σ = 494092872. Its totient is φ = 30965760.

The previous prime is 127868827. The next prime is 127868857. The reversal of 127868832 is 238868721.

It can be written as a sum of positive squares in 4 ways, for example, as 71978256 + 55890576 = 8484^2 + 7476^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3118732 + ... + 3118772.

Almost surely, 2^127868832 is an apocalyptic number.

127868832 is a gapful number since it is divisible by the number (12) 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 127868832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247046436).

127868832 is an abundant number, since it is smaller than the sum of its proper divisors (366224040).

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

127868832 is a wasteful number, since it uses less digits than its factorization.

127868832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 127868832 is about 11307.9101517478. The cubic root of 127868832 is about 503.7962139090.

The spelling of 127868832 in words is "one hundred twenty-seven million, eight hundred sixty-eight thousand, eight hundred thirty-two".