4008816 has 120 divisors (see below), whose sum is σ = 13269984. Its totient is φ = 1105920.

The previous prime is 4008799. The next prime is 4008841. The reversal of 4008816 is 6188004.

It is a self number, because there is not a number n which added to its sum of digits gives 4008816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41280 + ... + 41376.

Almost surely, 2^4008816 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 4008816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6634992).

4008816 is an abundant number, since it is smaller than the sum of its proper divisors (9261168).

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

4008816 is a wasteful number, since it uses less digits than its factorization.

4008816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4008816 is about 2002.2027869324. The cubic root of 4008816 is about 158.8566406879.

It can be divided in two parts, 40088 and 16, that added together give a palindrome (40104).

The spelling of 4008816 in words is "four million, eight thousand, eight hundred sixteen".