127286368 has 48 divisors (see below), whose sum is σ = 274337280. Its totient is φ = 57654400.

The previous prime is 127286323. The next prime is 127286371. The reversal of 127286368 is 863682721.

It is a congruent number.

It is an unprimeable number.

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, 151293 + ... + 152131.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 2^127286368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127286368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

127286368 is an abundant number, since it is smaller than the sum of its proper divisors (147050912).

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

127286368 is a wasteful number, since it uses less digits than its factorization.

127286368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1283 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 127286368 is about 11282.1260407780. The cubic root of 127286368 is about 503.0300906735.

The spelling of 127286368 in words is "one hundred twenty-seven million, two hundred eighty-six thousand, three hundred sixty-eight".