127840 has 48 divisors (see below), whose sum is σ = 326592. Its totient is φ = 47104.

The previous prime is 127837. The next prime is 127843. The reversal of 127840 is 48721.

127840 = T₄₉ + T₅₀ + ... + T₉₅.

It is an interprime number because it is at equal distance from previous prime (127837) and next prime (127843).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2697 + ... + 2743.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2¹²⁷⁸⁴⁰ is an apocalyptic number.

127840 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 127840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296).

127840 is an abundant number, since it is smaller than the sum of its proper divisors (198752).

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

127840 is a wasteful number, since it uses less digits than its factorization.

127840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 127840 is about 357.5471996814. The cubic root of 127840 is about 50.3758345561.

The spelling of 127840 in words is "one hundred twenty-seven thousand, eight hundred forty".