127709920 has 72 divisors (see below), whose sum is σ = 326777976. Its totient is φ = 47144448.

The previous prime is 127709891. The next prime is 127709921. The reversal of 127709920 is 29907721.

It is a self number, because there is not a number n which added to its sum of digits gives 127709920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127709921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24679 + ... + 29401.

It is an arithmetic number, because the mean of its divisors is an integer number (4538583).

Almost surely, 2^127709920 is an apocalyptic number.

127709920 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 127709920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163388988).

127709920 is an abundant number, since it is smaller than the sum of its proper divisors (199068056).

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

127709920 is a wasteful number, since it uses less digits than its factorization.

127709920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4764 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 37.

The square root of 127709920 is about 11300.8813815560. The cubic root of 127709920 is about 503.5874258596.

The spelling of 127709920 in words is "one hundred twenty-seven million, seven hundred nine thousand, nine hundred twenty".