127627864 has 64 divisors (see below), whose sum is σ = 310060800. Its totient is φ = 47827584.

The previous prime is 127627853. The next prime is 127627873. The reversal of 127627864 is 468726721.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 127627864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9219 + ... + 18445.

It is an arithmetic number, because the mean of its divisors is an integer number (4844700).

Almost surely, 2^127627864 is an apocalyptic number.

127627864 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 127627864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155030400).

127627864 is an abundant number, since it is smaller than the sum of its proper divisors (182432936).

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

127627864 is a wasteful number, since it uses less digits than its factorization.

127627864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9272 (or 9268 counting only the distinct ones).

The product of its digits is 225792, while the sum is 43.

The square root of 127627864 is about 11297.2502849145. The cubic root of 127627864 is about 503.4795479879.

The spelling of 127627864 in words is "one hundred twenty-seven million, six hundred twenty-seven thousand, eight hundred sixty-four".