127002048 has 56 divisors (see below), whose sum is σ = 343863168. Its totient is φ = 41346816.

The previous prime is 127002047. The next prime is 127002077. The reversal of 127002048 is 840200721.

It is a super-2 number, since 2×127002048² = 32259040392388608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127002047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 565 + ... + 15947.

Almost surely, 2^127002048 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 127002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171931584).

127002048 is an abundant number, since it is smaller than the sum of its proper divisors (216861120).

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

127002048 is a wasteful number, since it uses less digits than its factorization.

127002048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15441 (or 15431 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 127002048 is about 11269.5185345249. The cubic root of 127002048 is about 502.6552714393.

Adding to 127002048 its reverse (840200721), we get a palindrome (967202769).

The spelling of 127002048 in words is "one hundred twenty-seven million, two thousand, forty-eight".