8180128 has 48 divisors (see below), whose sum is σ = 18615744. Its totient is φ = 3496960.

The previous prime is 8180119. The next prime is 8180143. The reversal of 8180128 is 8210818.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8180096 and 8180105.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 5301 + ... + 6667.

It is an arithmetic number, because the mean of its divisors is an integer number (387828).

Almost surely, 2^8180128 is an apocalyptic number.

8180128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8180128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9307872).

8180128 is an abundant number, since it is smaller than the sum of its proper divisors (10435616).

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

8180128 is a wasteful number, since it uses less digits than its factorization.

8180128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 8180128 is about 2860.0923062027. The cubic root of 8180128 is about 201.4899395051.

The spelling of 8180128 in words is "eight million, one hundred eighty thousand, one hundred twenty-eight".