8032032 has 54 divisors (see below), whose sum is σ = 22978683. Its totient is φ = 2661312.

The previous prime is 8032019. The next prime is 8032039. The reversal of 8032032 is 2302308.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 4016016 + 4016016 = 2004^2 + 2004^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8031996 and 8032014.

It is not an unprimeable number, because it can be changed into a prime (8032039) 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 8 ways as a sum of consecutive naturals, for example, 48013 + ... + 48179.

Almost surely, 2^8032032 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 8032032

8032032 is an abundant number, since it is smaller than the sum of its proper divisors (14946651).

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

8032032 is a wasteful number, since it uses less digits than its factorization.

8032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 8032032 is about 2834.0839789957. The cubic root of 8032032 is about 200.2665778567.

Multiplying 8032032 by its sum of digits (18), we get a square (144576576 = 12024²).

8032032 divided by its sum of digits (18) gives a square (446224 = 668²).

Multiplying 8032032 by its product of nonzero digits (288), we get a square (2313225216 = 48096²).

8032032 divided by its product of nonzero digits (288) gives a square (27889 = 167²).

The spelling of 8032032 in words is "eight million, thirty-two thousand, thirty-two".