127913856 has 128 divisors (see below), whose sum is σ = 405388800. Its totient is φ = 34940928.

The previous prime is 127913827. The next prime is 127913869. The reversal of 127913856 is 658319721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60790 + ... + 62858.

It is an arithmetic number, because the mean of its divisors is an integer number (3167100).

Almost surely, 2^127913856 is an apocalyptic number.

127913856 is a gapful number since it is divisible by the number (16) 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 127913856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202694400).

127913856 is an abundant number, since it is smaller than the sum of its proper divisors (277474944).

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

127913856 is a wasteful number, since it uses less digits than its factorization.

127913856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2104 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 127913856 is about 11309.9007953209. The cubic root of 127913856 is about 503.8553376705.

The spelling of 127913856 in words is "one hundred twenty-seven million, nine hundred thirteen thousand, eight hundred fifty-six".