2008672 has 24 divisors (see below), whose sum is σ = 4053672. Its totient is φ = 979200.

The previous prime is 2008663. The next prime is 2008673. The reversal of 2008672 is 2768002.

2008672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (25) 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 (2008673) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 547 + ... + 2077.

It is an arithmetic number, because the mean of its divisors is an integer number (168903).

2^2008672 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 2008672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026836).

2008672 is an abundant number, since it is smaller than the sum of its proper divisors (2045000).

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

2008672 is a wasteful number, since it uses less digits than its factorization.

2008672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 2008672 is about 1417.2762610021. The cubic root of 2008672 is about 126.1739430147.

The spelling of 2008672 in words is "two million, eight thousand, six hundred seventy-two".