127840020 has 288 divisors, whose sum is σ = 468840960. Its totient is φ = 25724160.

The previous prime is 127840007. The next prime is 127840021. The reversal of 127840020 is 20048721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127840021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1908027 + ... + 1908093.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 2^127840020 is an apocalyptic number.

127840020 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 127840020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

127840020 is an abundant number, since it is smaller than the sum of its proper divisors (341000940).

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

127840020 is a wasteful number, since it uses less digits than its factorization.

127840020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 127840020 is about 11306.6361045184. The cubic root of 127840020 is about 503.7583718312.

Adding to 127840020 its reverse (20048721), we get a palindrome (147888741).

The spelling of 127840020 in words is "one hundred twenty-seven million, eight hundred forty thousand, twenty".