127890 has 72 divisors (see below), whose sum is σ = 400140. Its totient is φ = 28224.

The previous prime is 127877. The next prime is 127913. The reversal of 127890 is 98721.

It can be written as a sum of positive squares in 2 ways, for example, as 127449 + 441 = 357^2 + 21^2 .

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4396 + ... + 4424.

2¹²⁷⁸⁹⁰ is an apocalyptic number.

127890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200070).

127890 is an abundant number, since it is smaller than the sum of its proper divisors (272250).

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

127890 is a wasteful number, since it uses less digits than its factorization.

127890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 127890 is about 357.6171136845. The cubic root of 127890 is about 50.3824012630.

The spelling of 127890 in words is "one hundred twenty-seven thousand, eight hundred ninety".