127633116 has 96 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 37529856.

The previous prime is 127633109. The next prime is 127633157. The reversal of 127633116 is 611336721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355345 + ... + 355703.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2^127633116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127633116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

127633116 is an abundant number, since it is smaller than the sum of its proper divisors (207668004).

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

127633116 is a wasteful number, since it uses less digits than its factorization.

127633116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 473 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 127633116 is about 11297.4827284665. The cubic root of 127633116 is about 503.4864541034.

Adding to 127633116 its reverse (611336721), we get a palindrome (738969837).

The spelling of 127633116 in words is "one hundred twenty-seven million, six hundred thirty-three thousand, one hundred sixteen".