32064032 has 162 divisors, whose sum is σ = 87401349. Its totient is φ = 11531520.

The previous prime is 32064007. The next prime is 32064037. The reversal of 32064032 is 23046023.

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 2 ways, for example, as 27415696 + 4648336 = 5236^2 + 2156^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4004.

It is a junction number, because it is equal to n+sod(n) for n = 32063995 and 32064013.

It is not an unprimeable number, because it can be changed into a prime (32064037) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2466458 + ... + 2466470.

Almost surely, 2^32064032 is an apocalyptic number.

32064032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32064032

32064032 is an abundant number, since it is smaller than the sum of its proper divisors (55337317).

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

32064032 is a wasteful number, since it uses less digits than its factorization.

32064032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 32064032 is about 5662.5111037419. The cubic root of 32064032 is about 317.6918286073.

Subtracting from 32064032 its reverse (23046023), we obtain a square (9018009 = 3003²).

The spelling of 32064032 in words is "thirty-two million, sixty-four thousand, thirty-two", and thus it is an eban number.