127047648 has 96 divisors (see below), whose sum is σ = 410489856. Its totient is φ = 33504768.

The previous prime is 127047619. The next prime is 127047649. The reversal of 127047648 is 846740721.

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

It is a super-2 number, since 2×127047648² = 32282209724663808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127047649) 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, 1465 + ... + 16007.

It is an arithmetic number, because the mean of its divisors is an integer number (4275936).

Almost surely, 2^127047648 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 127047648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205244928).

127047648 is an abundant number, since it is smaller than the sum of its proper divisors (283442208).

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

127047648 is a wasteful number, since it uses less digits than its factorization.

127047648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14576 (or 14568 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 127047648 is about 11271.5415094831. The cubic root of 127047648 is about 502.7154235865.

The spelling of 127047648 in words is "one hundred twenty-seven million, forty-seven thousand, six hundred forty-eight".