4012008 has 128 divisors (see below), whose sum is σ = 13547520. Its totient is φ = 956160.

The previous prime is 4011991. The next prime is 4012013. The reversal of 4012008 is 8002104.

It is a Cunningham number, because it is equal to 2003²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23941 + ... + 24107.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 2^4012008 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 4012008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773760).

4012008 is an abundant number, since it is smaller than the sum of its proper divisors (9535512).

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

4012008 is a wasteful number, since it uses less digits than its factorization.

4012008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4012008 is about 2002.9997503744. Note that the first 3 decimals coincide. The cubic root of 4012008 is about 158.8987924415.

The spelling of 4012008 in words is "four million, twelve thousand, eight".