127416560 has 40 divisors (see below), whose sum is σ = 298599936. Its totient is φ = 50561280.

The previous prime is 127416559. The next prime is 127416571. The reversal of 127416560 is 65614721.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 2.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3890 + ... + 16430.

Almost surely, 2^127416560 is an apocalyptic number.

127416560 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 127416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149299968).

127416560 is an abundant number, since it is smaller than the sum of its proper divisors (171183376).

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

127416560 is a wasteful number, since it uses less digits than its factorization.

127416560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12681 (or 12675 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 127416560 is about 11287.8944006400. The cubic root of 127416560 is about 503.2015365735.

The spelling of 127416560 in words is "one hundred twenty-seven million, four hundred sixteen thousand, five hundred sixty".