127057840 has 160 divisors (see below), whose sum is σ = 375975936. Its totient is φ = 38845440.

The previous prime is 127057829. The next prime is 127057841. The reversal of 127057840 is 48750721.

It is a happy number.

It is a super-2 number, since 2×127057840² = 32287389410931200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127057796 and 127057805.

It is not an unprimeable number, because it can be changed into a prime (127057841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225399 + ... + 225961.

Almost surely, 2^127057840 is an apocalyptic number.

127057840 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 127057840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187987968).

127057840 is an abundant number, since it is smaller than the sum of its proper divisors (248918096).

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

127057840 is a wasteful number, since it uses less digits than its factorization.

127057840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 127057840 is about 11271.9936124893. The cubic root of 127057840 is about 502.7288661510.

The spelling of 127057840 in words is "one hundred twenty-seven million, fifty-seven thousand, eight hundred forty".