127616 has 16 divisors (see below), whose sum is σ = 254490. Its totient is φ = 63744.

The previous prime is 127609. The next prime is 127637. The reversal of 127616 is 616721.

It can be written as a sum of positive squares in only one way, i.e., 87616 + 40000 = 296^2 + 200^2 .

It is a tau number, because it is divible by the number of its divisors (16).

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

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 127591 and 127600.

It is an unprimeable number.

127616 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 as a sum of consecutive naturals, namely, 371 + ... + 626.

2^{127616} is an apocalyptic number.

127616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

127616 is a deficient number, since it is larger than the sum of its proper divisors (126874).

127616 is an frugal number, since it uses more digits than its factorization.

127616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 999 counting only the distinct ones).

The product of its digits is 504, while the sum is 23.

The square root of 127616 is about 357.2338169883. The cubic root of 127616 is about 50.3463946728.

The spelling of 127616 in words is "one hundred twenty-seven thousand, six hundred sixteen".

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