127647320 has 64 divisors (see below), whose sum is σ = 308124000. Its totient is φ = 47443968.

The previous prime is 127647293. The next prime is 127647323. The reversal of 127647320 is 23746721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127647323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38696 + ... + 41864.

Almost surely, 2^127647320 is an apocalyptic number.

127647320 is a gapful number since it is divisible by the number (10) 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 127647320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154062000).

127647320 is an abundant number, since it is smaller than the sum of its proper divisors (180476680).

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

127647320 is a wasteful number, since it uses less digits than its factorization.

127647320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 127647320 is about 11298.1113465924. Note that the first 3 decimals coincide. The cubic root of 127647320 is about 503.5051306991.

The spelling of 127647320 in words is "one hundred twenty-seven million, six hundred forty-seven thousand, three hundred twenty".