4008576 has 128 divisors (see below), whose sum is σ = 12680640. Its totient is φ = 1105920.

The previous prime is 4008559. The next prime is 4008577. The reversal of 4008576 is 6758004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54876 + ... + 54948.

Almost surely, 2^4008576 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 4008576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340320).

4008576 is an abundant number, since it is smaller than the sum of its proper divisors (8672064).

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

4008576 is a wasteful number, since it uses less digits than its factorization.

4008576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4008576 is about 2002.1428520463. The cubic root of 4008576 is about 158.8534704788.

The spelling of 4008576 in words is "four million, eight thousand, five hundred seventy-six".