127945440 has 192 divisors, whose sum is σ = 511902720. Its totient is φ = 29237760.

The previous prime is 127945429. The next prime is 127945483. The reversal of 127945440 is 44549721.

It is a happy number.

127945440 is a `hidden beast` number, since 1 + 27 + 94 + 544 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 127945395 and 127945404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28125 + ... + 32355.

It is an arithmetic number, because the mean of its divisors is an integer number (2666160).

Almost surely, 2^127945440 is an apocalyptic number.

127945440 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 127945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255951360).

127945440 is an abundant number, since it is smaller than the sum of its proper divisors (383957280).

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

127945440 is a wasteful number, since it uses less digits than its factorization.

127945440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 127945440 is about 11311.2970078590. The cubic root of 127945440 is about 503.8968042686.

The spelling of 127945440 in words is "one hundred twenty-seven million, nine hundred forty-five thousand, four hundred forty".