127319920 has 80 divisors (see below), whose sum is σ = 364351680. Its totient is φ = 40292352.

The previous prime is 127319911. The next prime is 127319921. The reversal of 127319920 is 29913721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127319921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1465 + ... + 16024.

It is an arithmetic number, because the mean of its divisors is an integer number (4554396).

Almost surely, 2^127319920 is an apocalyptic number.

127319920 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 127319920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182175840).

127319920 is an abundant number, since it is smaller than the sum of its proper divisors (237031760).

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

127319920 is a wasteful number, since it uses less digits than its factorization.

127319920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17522 (or 17516 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 127319920 is about 11283.6128965859. The cubic root of 127319920 is about 503.0742854634.

The spelling of 127319920 in words is "one hundred twenty-seven million, three hundred nineteen thousand, nine hundred twenty".