128516 has 18 divisors (see below), whose sum is σ = 240030. Its totient is φ = 60192.

The previous prime is 128509. The next prime is 128519. The reversal of 128516 is 615821.

It can be written as a sum of positive squares in only one way, i.e., 92416 + 36100 = 304^2 + 190^2 .

It is a junction number, because it is equal to n+sod(n) for n = 128491 and 128500.

It is not an unprimeable number, because it can be changed into a prime (128519) by changing a digit.

128516 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 5 ways as a sum of consecutive naturals, for example, 1400 + ... + 1488.

It is an arithmetic number, because the mean of its divisors is an integer number (13335).

2¹²⁸⁵¹⁶ is an apocalyptic number.

It is an amenable number.

128516 is a deficient number, since it is larger than the sum of its proper divisors (111514).

128516 is a wasteful number, since it uses less digits than its factorization.

128516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its digits is 480, while the sum is 23.

The square root of 128516 is about 358.4912830182. The cubic root of 128516 is about 50.4644719557.

The spelling of 128516 in words is "one hundred twenty-eight thousand, five hundred sixteen".