127895040 has 480 divisors, whose sum is σ = 554089536. Its totient is φ = 26542080.

The previous prime is 127895039. The next prime is 127895083. The reversal of 127895040 is 40598721.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 127894986 and 127895004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2096610 + ... + 2096670.

Almost surely, 2^127895040 is an apocalyptic number.

127895040 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 127895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277044768).

127895040 is an abundant number, since it is smaller than the sum of its proper divisors (426194496).

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

127895040 is a wasteful number, since it uses less digits than its factorization.

127895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 127895040 is about 11309.0689271929. The cubic root of 127895040 is about 503.8306309206.

The spelling of 127895040 in words is "one hundred twenty-seven million, eight hundred ninety-five thousand, forty".