127968840 has 96 divisors (see below), whose sum is σ = 417451320. Its totient is φ = 33997824.

The previous prime is 127968833. The next prime is 127968881. The reversal of 127968840 is 48869721.

It can be written as a sum of positive squares in 4 ways, for example, as 100280196 + 27688644 = 10014^2 + 5262^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 133804 + ... + 134756.

Almost surely, 2^127968840 is an apocalyptic number.

127968840 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 127968840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208725660).

127968840 is an abundant number, since it is smaller than the sum of its proper divisors (289482480).

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

127968840 is a wasteful number, since it uses less digits than its factorization.

127968840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 127968840 is about 11312.3313247093. The cubic root of 127968840 is about 503.9275217016.

The spelling of 127968840 in words is "one hundred twenty-seven million, nine hundred sixty-eight thousand, eight hundred forty".