8149248 has 108 divisors (see below), whose sum is σ = 24552528. Its totient is φ = 2695680.

The previous prime is 8149247. The next prime is 8149259. The reversal of 8149248 is 8429418.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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

It is not an unprimeable number, because it can be changed into a prime (8149243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62143 + ... + 62273.

Almost surely, 2^8149248 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 8149248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12276264).

8149248 is an abundant number, since it is smaller than the sum of its proper divisors (16403280).

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

8149248 is an equidigital number, since it uses as much as digits as its factorization.

8149248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 8149248 is about 2854.6887746303. The cubic root of 8149248 is about 201.2360781491.

The spelling of 8149248 in words is "eight million, one hundred forty-nine thousand, two hundred forty-eight".