127516480 has 224 divisors, whose sum is σ = 389168640. Its totient is φ = 38707200.

The previous prime is 127516447. The next prime is 127516489. The reversal of 127516480 is 84615721.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127516489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 844405 + ... + 844555.

It is an arithmetic number, because the mean of its divisors is an integer number (1737360).

Almost surely, 2^127516480 is an apocalyptic number.

127516480 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 127516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194584320).

127516480 is an abundant number, since it is smaller than the sum of its proper divisors (261652160).

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

127516480 is a wasteful number, since it uses less digits than its factorization.

127516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 127516480 is about 11292.3195137226. The cubic root of 127516480 is about 503.3330389991. Note that the first 3 decimals are identical.

The spelling of 127516480 in words is "one hundred twenty-seven million, five hundred sixteen thousand, four hundred eighty".