127961808 has 160 divisors (see below), whose sum is σ = 384975360. Its totient is φ = 36288000.

The previous prime is 127961791. The next prime is 127961843. The reversal of 127961808 is 808169721.

It is a self number, because there is not a number n which added to its sum of digits gives 127961808.

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, 509683 + ... + 509933.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 2^127961808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127961808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192487680).

127961808 is an abundant number, since it is smaller than the sum of its proper divisors (257013552).

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

127961808 is a wasteful number, since it uses less digits than its factorization.

127961808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 127961808 is about 11312.0205091752. The cubic root of 127961808 is about 503.9182911128.

The spelling of 127961808 in words is "one hundred twenty-seven million, nine hundred sixty-one thousand, eight hundred eight".