127649268 has 36 divisors (see below), whose sum is σ = 323013600. Its totient is φ = 42504336.

The previous prime is 127649257. The next prime is 127649299. The reversal of 127649268 is 862946721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 60121 + ... + 62207.

It is an arithmetic number, because the mean of its divisors is an integer number (8972600).

Almost surely, 2^127649268 is an apocalyptic number.

127649268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

127649268 is an abundant number, since it is smaller than the sum of its proper divisors (195364332).

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

127649268 is a wasteful number, since it uses less digits than its factorization.

127649268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3791 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 127649268 is about 11298.1975553625. The cubic root of 127649268 is about 503.5076919828.

The spelling of 127649268 in words is "one hundred twenty-seven million, six hundred forty-nine thousand, two hundred sixty-eight".