127887552 has 112 divisors (see below), whose sum is σ = 404957280. Its totient is φ = 39343104.

The previous prime is 127887469. The next prime is 127887553. The reversal of 127887552 is 255788721.

127887552 is a `hidden beast` number, since 12 + 7 + 8 + 87 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 127887498 and 127887507.

It is not an unprimeable number, because it can be changed into a prime (127887553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19618 + ... + 25310.

It is an arithmetic number, because the mean of its divisors is an integer number (3615690).

Almost surely, 2^127887552 is an apocalyptic number.

127887552 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 127887552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202478640).

127887552 is an abundant number, since it is smaller than the sum of its proper divisors (277069728).

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

127887552 is a wasteful number, since it uses less digits than its factorization.

127887552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727 (or 5711 counting only the distinct ones).

The product of its digits is 313600, while the sum is 45.

The square root of 127887552 is about 11308.7378606103. The cubic root of 127887552 is about 503.8207979686.

The spelling of 127887552 in words is "one hundred twenty-seven million, eight hundred eighty-seven thousand, five hundred fifty-two".