8083152 has 180 divisors, whose sum is σ = 29286816. Its totient is φ = 2099520.

The previous prime is 8083147. The next prime is 8083213. The reversal of 8083152 is 2513808.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 734827 + ... + 734837.

Almost surely, 2^8083152 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 8083152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14643408).

8083152 is an abundant number, since it is smaller than the sum of its proper divisors (21203664).

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

8083152 is an equidigital number, since it uses as much as digits as its factorization.

8083152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8083152 is about 2843.0884615150. The cubic root of 8083152 is about 200.6905463182.

The spelling of 8083152 in words is "eight million, eighty-three thousand, one hundred fifty-two".