127551648 has 96 divisors (see below), whose sum is σ = 384459264. Its totient is φ = 36271872.

The previous prime is 127551643. The next prime is 127551653. The reversal of 127551648 is 846155721.

It is an interprime number because it is at equal distance from previous prime (127551643) and next prime (127551653).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (127551643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 232911 + ... + 233457.

It is an arithmetic number, because the mean of its divisors is an integer number (4004784).

Almost surely, 2^127551648 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 127551648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192229632).

127551648 is an abundant number, since it is smaller than the sum of its proper divisors (256907616).

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

127551648 is a wasteful number, since it uses less digits than its factorization.

127551648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 906 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 127551648 is about 11293.8765709565. The cubic root of 127551648 is about 503.3793064548.

It can be divided in two parts, 127 and 551648, that added together give a triangular number (551775 = T₁₀₅₀).

The spelling of 127551648 in words is "one hundred twenty-seven million, five hundred fifty-one thousand, six hundred forty-eight".