81680127 has 16 divisors (see below), whose sum is σ = 112154112. Its totient is φ = 52837920.

The previous prime is 81680119. The next prime is 81680191. The reversal of 81680127 is 72108618.

It is a happy number.

It is not a de Polignac number, because 81680127 - 2³ = 81680119 is a prime.

It is a super-2 number, since 2×81680127² = 13343286293472258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81680117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53302 + ... + 54812.

It is an arithmetic number, because the mean of its divisors is an integer number (7009632).

Almost surely, 2^81680127 is an apocalyptic number.

81680127 is a deficient number, since it is larger than the sum of its proper divisors (30473985).

81680127 is a wasteful number, since it uses less digits than its factorization.

81680127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038.

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 81680127 is about 9037.7058482781. The cubic root of 81680127 is about 433.8825009135.

The spelling of 81680127 in words is "eighty-one million, six hundred eighty thousand, one hundred twenty-seven".