127032048 has 240 divisors, whose sum is σ = 433305600. Its totient is φ = 34214400.

The previous prime is 127032047. The next prime is 127032049. The reversal of 127032048 is 840230721.

It is an interprime number because it is at equal distance from previous prime (127032047) and next prime (127032049).

It is a super-2 number, since 2×127032048² = 32274282438148608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127032047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638253 + ... + 638451.

It is an arithmetic number, because the mean of its divisors is an integer number (1805440).

Almost surely, 2^127032048 is an apocalyptic number.

127032048 is a gapful number since it is divisible by the number (18) 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 127032048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216652800).

127032048 is an abundant number, since it is smaller than the sum of its proper divisors (306273552).

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

127032048 is a wasteful number, since it uses less digits than its factorization.

127032048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 127032048 is about 11270.8494799638. The cubic root of 127032048 is about 502.6948468403.

Adding to 127032048 its reverse (840230721), we get a palindrome (967262769).

The spelling of 127032048 in words is "one hundred twenty-seven million, thirty-two thousand, forty-eight".