8461128 has 64 divisors (see below), whose sum is σ = 23304960. Its totient is φ = 2543616.

The previous prime is 8461097. The next prime is 8461147. The reversal of 8461128 is 8211648.

8461128 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8461095 and 8461104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14376 + ... + 14952.

It is an arithmetic number, because the mean of its divisors is an integer number (364140).

Almost surely, 2^8461128 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 8461128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11652480).

8461128 is an abundant number, since it is smaller than the sum of its proper divisors (14843832).

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

8461128 is a wasteful number, since it uses less digits than its factorization.

8461128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 8461128 is about 2908.8018151810. The cubic root of 8461128 is about 203.7711774944.

The spelling of 8461128 in words is "eight million, four hundred sixty-one thousand, one hundred twenty-eight".