128010 has 32 divisors (see below), whose sum is σ = 326592. Its totient is φ = 32000.

The previous prime is 127997. The next prime is 128021. The reversal of 128010 is 10821.

128010 = 158² + 159² + ... + 162².

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

128010 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385 + ... + 635.

It is an arithmetic number, because the mean of its divisors is an integer number (10206).

2¹²⁸⁰¹⁰ is an apocalyptic number.

128010 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 128010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296).

128010 is an abundant number, since it is smaller than the sum of its proper divisors (198582).

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

128010 is a wasteful number, since it uses less digits than its factorization.

128010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 128010 is about 357.7848515519. The cubic root of 128010 is about 50.3981543794.

Adding to 128010 its reverse (10821), we get a palindrome (138831).

The spelling of 128010 in words is "one hundred twenty-eight thousand, ten".