127056 has 20 divisors (see below), whose sum is σ = 328352. Its totient is φ = 42336.

The previous prime is 127051. The next prime is 127079. The reversal of 127056 is 650721.

Adding to 127056 its reverse (650721), we get a palindrome (777777).

It can be divided in two parts, 1270 and 56, that added together give a triangular number (1326 = T_{51}).

It is a super-2 number, since 2×127056^{2} = 32286454272, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 127056.

It is not an unprimeable number, because it can be changed into a prime (127051) by changing a digit.

127056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1276 + ... + 1371.

2^{127056} is an apocalyptic number.

127056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

127056 is an abundant number, since it is smaller than the sum of its proper divisors (201296).

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

127056 is a wasteful number, since it uses less digits than its factorization.

127056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 127056 is about 356.4491548594. The cubic root of 127056 is about 50.2726439368.

The spelling of 127056 in words is "one hundred twenty-seven thousand, fifty-six".

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