127333864 has 64 divisors (see below), whose sum is σ = 288691200. Its totient is φ = 51494400.

The previous prime is 127333841. The next prime is 127333889. The reversal of 127333864 is 468333721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70282 + ... + 72070.

It is an arithmetic number, because the mean of its divisors is an integer number (4510800).

Almost surely, 2^127333864 is an apocalyptic number.

127333864 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 127333864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144345600).

127333864 is an abundant number, since it is smaller than the sum of its proper divisors (161357336).

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

127333864 is a wasteful number, since it uses less digits than its factorization.

127333864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1870 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 127333864 is about 11284.2307668711. The cubic root of 127333864 is about 503.0926502560.

The spelling of 127333864 in words is "one hundred twenty-seven million, three hundred thirty-three thousand, eight hundred sixty-four".