8185248 has 72 divisors (see below), whose sum is σ = 23597028. Its totient is φ = 2691072.

The previous prime is 8185237. The next prime is 8185253. The reversal of 8185248 is 8425818.

8185248 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7683984 + 501264 = 2772^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27790 + ... + 28082.

Almost surely, 2^8185248 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 8185248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11798514).

8185248 is an abundant number, since it is smaller than the sum of its proper divisors (15411780).

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

8185248 is a wasteful number, since it uses less digits than its factorization.

8185248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 8185248 is about 2860.9872421946. The cubic root of 8185248 is about 201.5319687305.

The spelling of 8185248 in words is "eight million, one hundred eighty-five thousand, two hundred forty-eight".