127833920 has 28 divisors (see below), whose sum is σ = 304405284. Its totient is φ = 51133440.

The previous prime is 127833913. The next prime is 127833947. The reversal of 127833920 is 29338721.

It can be written as a sum of positive squares in 2 ways, for example, as 28472896 + 99361024 = 5336^2 + 9968^2 .

It is a super-2 number, since 2×127833920² = 32683022205132800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 199421 + ... + 200060.

Almost surely, 2^127833920 is an apocalyptic number.

127833920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127833920 is an abundant number, since it is smaller than the sum of its proper divisors (176571364).

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

127833920 is an equidigital number, since it uses as much as digits as its factorization.

127833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399498 (or 399488 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 127833920 is about 11306.3663482129. The cubic root of 127833920 is about 503.7503592779.

The spelling of 127833920 in words is "one hundred twenty-seven million, eight hundred thirty-three thousand, nine hundred twenty".