8345128 has 48 divisors (see below), whose sum is σ = 17739540. Its totient is φ = 3674880.

The previous prime is 8345119. The next prime is 8345153. The reversal of 8345128 is 8215438.

It can be written as a sum of positive squares in 2 ways, for example, as 8305924 + 39204 = 2882^2 + 198^2 .

It is a super-2 number, since 2×8345128² = 139282322672768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8345128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35700 + ... + 35932.

Almost surely, 2^8345128 is an apocalyptic number.

8345128 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 8345128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8869770).

8345128 is an abundant number, since it is smaller than the sum of its proper divisors (9394412).

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

8345128 is a wasteful number, since it uses less digits than its factorization.

8345128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 283 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 8345128 is about 2888.7935197933. The cubic root of 8345128 is about 202.8356714883.

The spelling of 8345128 in words is "eight million, three hundred forty-five thousand, one hundred twenty-eight".