127378944 has 240 divisors, whose sum is σ = 459613440. Its totient is φ = 32993280.

The previous prime is 127378921. The next prime is 127378961. The reversal of 127378944 is 449873721.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 127378944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354637 + ... + 354995.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 2^127378944 is an apocalyptic number.

127378944 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 127378944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229806720).

127378944 is an abundant number, since it is smaller than the sum of its proper divisors (332234496).

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

127378944 is a wasteful number, since it uses less digits than its factorization.

127378944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 382 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 127378944 is about 11286.2280678710. The cubic root of 127378944 is about 503.1520132044.

The spelling of 127378944 in words is "one hundred twenty-seven million, three hundred seventy-eight thousand, nine hundred forty-four".