127628680 has 32 divisors (see below), whose sum is σ = 287582400. Its totient is φ = 50977216.

The previous prime is 127628671. The next prime is 127628689. The reversal of 127628680 is 86826721.

It is an interprime number because it is at equal distance from previous prime (127628671) and next prime (127628689).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (127628689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31659 + ... + 35461.

It is an arithmetic number, because the mean of its divisors is an integer number (8986950).

Almost surely, 2^127628680 is an apocalyptic number.

127628680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127628680 is an abundant number, since it is smaller than the sum of its proper divisors (159953720).

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

127628680 is a wasteful number, since it uses less digits than its factorization.

127628680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 127628680 is about 11297.2863998396. The cubic root of 127628680 is about 503.4806209992.

The spelling of 127628680 in words is "one hundred twenty-seven million, six hundred twenty-eight thousand, six hundred eighty".