127030680 has 192 divisors, whose sum is σ = 489565440. Its totient is φ = 29020032.

The previous prime is 127030667. The next prime is 127030691. The reversal of 127030680 is 86030721.

It is a super-2 number, since 2×127030680² = 32273587322524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 67107 + ... + 68973.

It is an arithmetic number, because the mean of its divisors is an integer number (2549820).

Almost surely, 2^127030680 is an apocalyptic number.

127030680 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 127030680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244782720).

127030680 is an abundant number, since it is smaller than the sum of its proper divisors (362534760).

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

127030680 is a wasteful number, since it uses less digits than its factorization.

127030680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 127030680 is about 11270.7887922718. The cubic root of 127030680 is about 502.6930423376.

The spelling of 127030680 in words is "one hundred twenty-seven million, thirty thousand, six hundred eighty".