127638 has 24 divisors (see below), whose sum is σ = 316368. Its totient is φ = 36432.

The previous prime is 127637. The next prime is 127643. The reversal of 127638 is 836721.

127638 is a `hidden beast` number, since 1 + 27 + 638 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 381 + ... + 632.

It is an arithmetic number, because the mean of its divisors is an integer number (13182).

2¹²⁷⁶³⁸ is an apocalyptic number.

127638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

127638 is an abundant number, since it is smaller than the sum of its proper divisors (188730).

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

127638 is a wasteful number, since it uses less digits than its factorization.

127638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1025 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 127638 is about 357.2646078189. The cubic root of 127638 is about 50.3492876147.

The spelling of 127638 in words is "one hundred twenty-seven thousand, six hundred thirty-eight".