127816864 has 48 divisors (see below), whose sum is σ = 289916928. Its totient is φ = 54335232.

The previous prime is 127816861. The next prime is 127816873. The reversal of 127816864 is 468618721.

It is a self number, because there is not a number n which added to its sum of digits gives 127816864.

It is not an unprimeable number, because it can be changed into a prime (127816861) 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, 26202 + ... + 30694.

It is an arithmetic number, because the mean of its divisors is an integer number (6039936).

Almost surely, 2^127816864 is an apocalyptic number.

127816864 is a gapful number since it is divisible by the number (14) 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 127816864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144958464).

127816864 is an abundant number, since it is smaller than the sum of its proper divisors (162100064).

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

127816864 is a wasteful number, since it uses less digits than its factorization.

127816864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4629 counting only the distinct ones).

The product of its digits is 129024, while the sum is 43.

The square root of 127816864 is about 11305.6120577349. The cubic root of 127816864 is about 503.7279543004.

The spelling of 127816864 in words is "one hundred twenty-seven million, eight hundred sixteen thousand, eight hundred sixty-four".