127682016 has 192 divisors, whose sum is σ = 436617216. Its totient is φ = 31680000.

The previous prime is 127682011. The next prime is 127682017. The reversal of 127682016 is 610286721.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127682011) 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 31 ways as a sum of consecutive naturals, for example, 169641 + ... + 170391.

It is an arithmetic number, because the mean of its divisors is an integer number (2274048).

Almost surely, 2^127682016 is an apocalyptic number.

127682016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127682016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218308608).

127682016 is an abundant number, since it is smaller than the sum of its proper divisors (308935200).

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

127682016 is a wasteful number, since it uses less digits than its factorization.

127682016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 127682016 is about 11299.6467201413. The cubic root of 127682016 is about 503.5507460489.

The spelling of 127682016 in words is "one hundred twenty-seven million, six hundred eighty-two thousand, sixteen".