4096008 has 144 divisors (see below), whose sum is σ = 13693680. Its totient is φ = 1143072.

The previous prime is 4095991. The next prime is 4096013. The reversal of 4096008 is 8006904.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95235 + ... + 95277.

It is an arithmetic number, because the mean of its divisors is an integer number (95095).

Almost surely, 2^4096008 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 4096008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6846840).

4096008 is an abundant number, since it is smaller than the sum of its proper divisors (9597672).

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

4096008 is a wasteful number, since it uses less digits than its factorization.

4096008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4096008 is about 2023.8596789303. The cubic root of 4096008 is about 160.0001041666. Note that the first 3 decimals are identical.

The spelling of 4096008 in words is "four million, ninety-six thousand, eight".