127386768 has 40 divisors (see below), whose sum is σ = 332791200. Its totient is φ = 41983744.

The previous prime is 127386751. The next prime is 127386793. The reversal of 127386768 is 867683721.

It is a super-2 number, since 2×127386768² = 32454777322971648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 10638 + ... + 19181.

It is an arithmetic number, because the mean of its divisors is an integer number (8319780).

Almost surely, 2^127386768 is an apocalyptic number.

It is an amenable number.

127386768 is an abundant number, since it is smaller than the sum of its proper divisors (205404432).

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

127386768 is a wasteful number, since it uses less digits than its factorization.

127386768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29919 (or 29913 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 127386768 is about 11286.5746796803. The cubic root of 127386768 is about 503.1623146996.

The spelling of 127386768 in words is "one hundred twenty-seven million, three hundred eighty-six thousand, seven hundred sixty-eight".