127506920 has 32 divisors (see below), whose sum is σ = 288142920. Its totient is φ = 50780160.

The previous prime is 127506889. The next prime is 127506931. The reversal of 127506920 is 29605721.

It can be written as a sum of positive squares in 4 ways, for example, as 111809476 + 15697444 = 10574^2 + 3962^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2480 + ... + 16160.

Almost surely, 2^127506920 is an apocalyptic number.

127506920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127506920 is an abundant number, since it is smaller than the sum of its proper divisors (160636000).

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

127506920 is a wasteful number, since it uses less digits than its factorization.

127506920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13925 (or 13921 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 127506920 is about 11291.8962092290. The cubic root of 127506920 is about 503.3204602743.

The spelling of 127506920 in words is "one hundred twenty-seven million, five hundred six thousand, nine hundred twenty".