2000664 has 48 divisors (see below), whose sum is σ = 5572320. Its totient is φ = 648000.

The previous prime is 2000659. The next prime is 2000671. The reversal of 2000664 is 4660002.

2000664 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 664 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2289 + ... + 3039.

It is an arithmetic number, because the mean of its divisors is an integer number (116090).

2^2000664 is an apocalyptic number.

2000664 is a gapful number since it is divisible by the number (24) 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 2000664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786160).

2000664 is an abundant number, since it is smaller than the sum of its proper divisors (3571656).

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

2000664 is a wasteful number, since it uses less digits than its factorization.

2000664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2000664 is about 1414.4483023426. The cubic root of 2000664 is about 126.0060465730.

Subtracting from 2000664 its product of nonzero digits (288), we obtain a cube (2000376 = 126³).

Adding to 2000664 its reverse (4660002), we get a palindrome (6660666).

The spelling of 2000664 in words is "two million, six hundred sixty-four", and thus it is an aban number.