127318632 has 64 divisors (see below), whose sum is σ = 364953600. Its totient is φ = 36258240.

The previous prime is 127318619. The next prime is 127318663. The reversal of 127318632 is 236813721.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 127318593 and 127318602.

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, 59257 + ... + 61367.

It is an arithmetic number, because the mean of its divisors is an integer number (5702400).

Almost surely, 2^127318632 is an apocalyptic number.

127318632 is a gapful number since it is divisible by the number (12) 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 127318632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182476800).

127318632 is an abundant number, since it is smaller than the sum of its proper divisors (237634968).

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

127318632 is a wasteful number, since it uses less digits than its factorization.

127318632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2482 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 127318632 is about 11283.5558225233. Note that the first 3 decimals coincide. The cubic root of 127318632 is about 503.0725890495.

The spelling of 127318632 in words is "one hundred twenty-seven million, three hundred eighteen thousand, six hundred thirty-two".