127963080 has 384 divisors, whose sum is σ = 525657600. Its totient is φ = 26320896.

The previous prime is 127963067. The next prime is 127963103. The reversal of 127963080 is 80369721.

127963080 is a `hidden beast` number, since 12 + 7 + 9 + 630 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1242309 + ... + 1242411.

It is an arithmetic number, because the mean of its divisors is an integer number (1368900).

Almost surely, 2^127963080 is an apocalyptic number.

127963080 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 127963080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262828800).

127963080 is an abundant number, since it is smaller than the sum of its proper divisors (397694520).

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

127963080 is a wasteful number, since it uses less digits than its factorization.

127963080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 127963080 is about 11312.0767324130. The cubic root of 127963080 is about 503.9199608348.

It can be divided in two parts, 12796 and 3080, that added together give a square (15876 = 126²).

The spelling of 127963080 in words is "one hundred twenty-seven million, nine hundred sixty-three thousand, eighty".