127547680 has 144 divisors (see below), whose sum is σ = 336185640. Its totient is φ = 45686784.

The previous prime is 127547669. The next prime is 127547701. The reversal of 127547680 is 86745721.

It can be written as a sum of positive squares in 12 ways, for example, as 1838736 + 125708944 = 1356^2 + 11212^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1433076 + ... + 1433164.

Almost surely, 2^127547680 is an apocalyptic number.

127547680 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 127547680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168092820).

127547680 is an abundant number, since it is smaller than the sum of its proper divisors (208637960).

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

127547680 is a wasteful number, since it uses less digits than its factorization.

127547680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 127547680 is about 11293.7008991738. The cubic root of 127547680 is about 503.3740865306.

The spelling of 127547680 in words is "one hundred twenty-seven million, five hundred forty-seven thousand, six hundred eighty".