4001608 has 32 divisors (see below), whose sum is σ = 8177400. Its totient is φ = 1824768.

The previous prime is 4001603. The next prime is 4001611. The reversal of 4001608 is 8061004.

4001608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2965284 + 1036324 = 1722^2 + 1018^2 .

It is not an unprimeable number, because it can be changed into a prime (4001603) 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 7 ways as a sum of consecutive naturals, for example, 11160 + ... + 11512.

Almost surely, 2^4001608 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 4001608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088700).

4001608 is an abundant number, since it is smaller than the sum of its proper divisors (4175792).

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

4001608 is a wasteful number, since it uses less digits than its factorization.

4001608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 4001608 is about 2000.4019596071. The cubic root of 4001608 is about 158.7613735212.

The spelling of 4001608 in words is "four million, one thousand, six hundred eight".