127997376 has 112 divisors (see below), whose sum is σ = 384048000. Its totient is φ = 37297152.

The previous prime is 127997347. The next prime is 127997399. The reversal of 127997376 is 673799721.

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 15 ways as a sum of consecutive naturals, for example, 46075 + ... + 48773.

It is an arithmetic number, because the mean of its divisors is an integer number (3429000).

Almost surely, 2^127997376 is an apocalyptic number.

127997376 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 127997376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192024000).

127997376 is an abundant number, since it is smaller than the sum of its proper divisors (256050624).

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

127997376 is a wasteful number, since it uses less digits than its factorization.

127997376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2736 counting only the distinct ones).

The product of its digits is 1000188, while the sum is 51.

The square root of 127997376 is about 11313.5925328783. The cubic root of 127997376 is about 503.9649761502.

The spelling of 127997376 in words is "one hundred twenty-seven million, nine hundred ninety-seven thousand, three hundred seventy-six".