4032064 has 21 divisors (see below), whose sum is σ = 8033131. Its totient is φ = 2008000.

The previous prime is 4032059. The next prime is 4032071. The reversal of 4032064 is 4602304.

The square root of 4032064 is 2008.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 15939 + ... + 16189.

Almost surely, 2^4032064 is an apocalyptic number.

4032064 is the 2008-th square number.

It is an amenable number.

4032064 is a deficient number, since it is larger than the sum of its proper divisors (4001067).

4032064 is an frugal number, since it uses more digits than its factorization.

4032064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The cubic root of 4032064 is about 159.1631304399.

Multiplying 4032064 by its product of nonzero digits (576), we get a square (2322468864 = 48192²).

Adding to 4032064 its reverse (4602304), we get a palindrome (8634368).

The spelling of 4032064 in words is "four million, thirty-two thousand, sixty-four", and thus it is an eban number.