127638765 has 24 divisors (see below), whose sum is σ = 221719680. Its totient is φ = 67926624.

The previous prime is 127638739. The next prime is 127638767. The reversal of 127638765 is 567836721.

127638765 is a `hidden beast` number, since 1 + 2 + 7 + 638 + 7 + 6 + 5 = 666.

It is not a de Polignac number, because 127638765 - 2⁸ = 127638509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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

It is a self number, because there is not a number n which added to its sum of digits gives 127638765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127638767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19816 + ... + 25454.

It is an arithmetic number, because the mean of its divisors is an integer number (9238320).

Almost surely, 2^127638765 is an apocalyptic number.

127638765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127638765 is a deficient number, since it is larger than the sum of its proper divisors (94080915).

127638765 is a wasteful number, since it uses less digits than its factorization.

127638765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6153 (or 6150 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 127638765 is about 11297.7327371469. The cubic root of 127638765 is about 503.4938820425.

It can be divided in two parts, 12763 and 8765, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 127638765 in words is "one hundred twenty-seven million, six hundred thirty-eight thousand, seven hundred sixty-five".