8182848 has 112 divisors (see below), whose sum is σ = 24140160. Its totient is φ = 2433024.

The previous prime is 8182847. The next prime is 8182849. The reversal of 8182848 is 8482818.

It is an interprime number because it is at equal distance from previous prime (8182847) and next prime (8182849).

It is a super-2 number, since 2×8182848² = 133918002782208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8182847) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 75018 + ... + 75126.

Almost surely, 2^8182848 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 8182848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070080).

8182848 is an abundant number, since it is smaller than the sum of its proper divisors (15957312).

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

8182848 is a wasteful number, since it uses less digits than its factorization.

8182848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its digits is 32768, while the sum is 39.

The square root of 8182848 is about 2860.5677758096. The cubic root of 8182848 is about 201.5122697141.

The spelling of 8182848 in words is "eight million, one hundred eighty-two thousand, eight hundred forty-eight".