127721984 has 80 divisors (see below), whose sum is σ = 284148480. Its totient is φ = 56954880.

The previous prime is 127721959. The next prime is 127721999. The reversal of 127721984 is 489127721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206027 + ... + 206645.

It is an arithmetic number, because the mean of its divisors is an integer number (3551856).

Almost surely, 2^127721984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127721984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142074240).

127721984 is an abundant number, since it is smaller than the sum of its proper divisors (156426496).

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

127721984 is an equidigital number, since it uses as much as digits as its factorization.

127721984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 665 counting only the distinct ones).

The product of its digits is 56448, while the sum is 41.

The square root of 127721984 is about 11301.4151326283. The cubic root of 127721984 is about 503.6032823345.

The spelling of 127721984 in words is "one hundred twenty-seven million, seven hundred twenty-one thousand, nine hundred eighty-four".