128370 has 32 divisors (see below), whose sum is σ = 336960. Its totient is φ = 31040.

The previous prime is 128351. The next prime is 128377. The reversal of 128370 is 73821.

128370 = 31² + 32² + ... + 74².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128377) by changing a digit.

128370 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (10530).

2¹²⁸³⁷⁰ is an apocalyptic number.

128370 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 128370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480).

128370 is an abundant number, since it is smaller than the sum of its proper divisors (208590).

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

128370 is a wasteful number, since it uses less digits than its factorization.

128370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 128370 is about 358.2875939800. The cubic root of 128370 is about 50.4453547389.

The spelling of 128370 in words is "one hundred twenty-eight thousand, three hundred seventy".