127840032 has 240 divisors, whose sum is σ = 407860992. Its totient is φ = 39191040.

The previous prime is 127840021. The next prime is 127840039. The reversal of 127840032 is 230048721.

It is a super-2 number, since 2×127840032² = 32686147563522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 127839978 and 127840005.

It is not an unprimeable number, because it can be changed into a prime (127840039) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2973003 + ... + 2973045.

Almost surely, 2^127840032 is an apocalyptic number.

127840032 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 127840032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203930496).

127840032 is an abundant number, since it is smaller than the sum of its proper divisors (280020960).

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

127840032 is a wasteful number, since it uses less digits than its factorization.

127840032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

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

The square root of 127840032 is about 11306.6366351802. The cubic root of 127840032 is about 503.7583875934.

Adding to 127840032 its reverse (230048721), we get a palindrome (357888753).

The spelling of 127840032 in words is "one hundred twenty-seven million, eight hundred forty thousand, thirty-two".