127282920 has 128 divisors (see below), whose sum is σ = 403107840. Its totient is φ = 32088320.

The previous prime is 127282889. The next prime is 127282933. The reversal of 127282920 is 29282721.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295105 + ... + 295535.

It is an arithmetic number, because the mean of its divisors is an integer number (3149280).

Almost surely, 2^127282920 is an apocalyptic number.

127282920 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 127282920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201553920).

127282920 is an abundant number, since it is smaller than the sum of its proper divisors (275824920).

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

127282920 is a wasteful number, since it uses less digits than its factorization.

127282920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 127282920 is about 11281.9732316648. The cubic root of 127282920 is about 503.0255485181.

The spelling of 127282920 in words is "one hundred twenty-seven million, two hundred eighty-two thousand, nine hundred twenty".