127380096 has 48 divisors (see below), whose sum is σ = 366552810. Its totient is φ = 42459648.

The previous prime is 127380083. The next prime is 127380103. The reversal of 127380096 is 690083721.

It can be written as a sum of positive squares in only one way, i.e., 94478400 + 32901696 = 9720^2 + 5736^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 127380096.

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 5 ways as a sum of consecutive naturals, for example, 54135 + ... + 56438.

Almost surely, 2^127380096 is an apocalyptic number.

127380096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

127380096 is an abundant number, since it is smaller than the sum of its proper divisors (239172714).

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

127380096 is a wasteful number, since it uses less digits than its factorization.

127380096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110593 (or 110578 counting only the distinct ones).

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

The square root of 127380096 is about 11286.2791034069. The cubic root of 127380096 is about 503.1535300155.

The spelling of 127380096 in words is "one hundred twenty-seven million, three hundred eighty thousand, ninety-six".