4162008 has 48 divisors (see below), whose sum is σ = 11127240. Its totient is φ = 1292800.

The previous prime is 4162003. The next prime is 4162009. The reversal of 4162008 is 8002614.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4162003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41158 + ... + 41258.

Almost surely, 2^4162008 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 4162008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563620).

4162008 is an abundant number, since it is smaller than the sum of its proper divisors (6965232).

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

4162008 is a wasteful number, since it uses less digits than its factorization.

4162008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4162008 is about 2040.0999975491. The cubic root of 4162008 is about 160.8549031597.

Subtracting 4162008 from its reverse (8002614), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 4162008 in words is "four million, one hundred sixty-two thousand, eight".