816128 has 22 divisors (see below), whose sum is σ = 1633506. Its totient is φ = 407552.

The previous prime is 816121. The next prime is 816131. The reversal of 816128 is 821618.

It can be written as a sum of positive squares in only one way, i.e., 692224 + 123904 = 832^2 + 352^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 816097 and 816106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816121) by changing a digit.

816128 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 as a sum of consecutive naturals, namely, 626 + ... + 1422.

2⁸¹⁶¹²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816753).

816128 is an abundant number, since it is smaller than the sum of its proper divisors (817378).

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

816128 is an equidigital number, since it uses as much as digits as its factorization.

816128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 799 counting only the distinct ones).

The product of its digits is 768, while the sum is 26.

The square root of 816128 is about 903.3980296636. The cubic root of 816128 is about 93.4514604070.

The spelling of 816128 in words is "eight hundred sixteen thousand, one hundred twenty-eight".