127945944 has 192 divisors, whose sum is σ = 426254400. Its totient is φ = 33841152.

The previous prime is 127945933. The next prime is 127945957. The reversal of 127945944 is 449549721.

It is a super-2 number, since 2×127945944² = 32740329172102272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127945944.

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, 933844 + ... + 933980.

It is an arithmetic number, because the mean of its divisors is an integer number (2220075).

Almost surely, 2^127945944 is an apocalyptic number.

127945944 is a gapful number since it is divisible by the number (14) 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 127945944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213127200).

127945944 is an abundant number, since it is smaller than the sum of its proper divisors (298308456).

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

127945944 is a wasteful number, since it uses less digits than its factorization.

127945944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 127945944 is about 11311.3192864493. The cubic root of 127945944 is about 503.8974659143.

The spelling of 127945944 in words is "one hundred twenty-seven million, nine hundred forty-five thousand, nine hundred forty-four".