127532880 has 100 divisors (see below), whose sum is σ = 442963092. Its totient is φ = 34007040.

The previous prime is 127532879. The next prime is 127532891. The reversal of 127532880 is 88235721.

It can be written as a sum of positive squares in 2 ways, for example, as 95179536 + 32353344 = 9756^2 + 5688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3361 + ... + 16320.

Almost surely, 2^127532880 is an apocalyptic number.

127532880 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 127532880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221481546).

127532880 is an abundant number, since it is smaller than the sum of its proper divisors (315430212).

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

127532880 is a wasteful number, since it uses less digits than its factorization.

127532880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19706 (or 19691 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 127532880 is about 11293.0456476541. The cubic root of 127532880 is about 503.3546161003.

The spelling of 127532880 in words is "one hundred twenty-seven million, five hundred thirty-two thousand, eight hundred eighty".