2008656 has 120 divisors (see below), whose sum is σ = 6431880. Its totient is φ = 580608.

The previous prime is 2008637. The next prime is 2008663. The reversal of 2008656 is 6568002.

2008656 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 656 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 360000 + 1648656 = 600^2 + 1284^2 .

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, 54270 + ... + 54306.

It is an arithmetic number, because the mean of its divisors is an integer number (53599).

2^2008656 is an apocalyptic number.

2008656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2008656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215940).

2008656 is an abundant number, since it is smaller than the sum of its proper divisors (4423224).

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

2008656 is a wasteful number, since it uses less digits than its factorization.

2008656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2008656 is about 1417.2706163609. The cubic root of 2008656 is about 126.1736080026.

The spelling of 2008656 in words is "two million, eight thousand, six hundred fifty-six".