127608480 has 192 divisors, whose sum is σ = 452390400. Its totient is φ = 33592320.

The previous prime is 127608479. The next prime is 127608487. The reversal of 127608480 is 84806721.

127608480 is a `hidden beast` number, since 1 + 2 + 7 + 608 + 48 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (127608487) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 470745 + ... + 471015.

It is an arithmetic number, because the mean of its divisors is an integer number (2356200).

Almost surely, 2^127608480 is an apocalyptic number.

127608480 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 127608480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226195200).

127608480 is an abundant number, since it is smaller than the sum of its proper divisors (324781920).

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

127608480 is a wasteful number, since it uses less digits than its factorization.

127608480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 127608480 is about 11296.3923444611. The cubic root of 127608480 is about 503.4540573639.

The spelling of 127608480 in words is "one hundred twenty-seven million, six hundred eight thousand, four hundred eighty".