2685664 has 48 divisors (see below), whose sum is σ = 5715360. Its totient is φ = 1239040.

The previous prime is 2685653. The next prime is 2685667. The reversal of 2685664 is 4665862.

2685664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2685664² = 14425582241792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) 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 (2685667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30132 + ... + 30220.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

2^2685664 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 2685664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857680).

2685664 is an abundant number, since it is smaller than the sum of its proper divisors (3029696).

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

2685664 is a wasteful number, since it uses less digits than its factorization.

2685664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 2685664 is about 1638.7995606541. The cubic root of 2685664 is about 139.0007763530. Note that the first 3 decimals are identical.

The spelling of 2685664 in words is "two million, six hundred eighty-five thousand, six hundred sixty-four".