2113664 has 48 divisors (see below), whose sum is σ = 4912830. Its totient is φ = 903168.

The previous prime is 2113651. The next prime is 2113667. The reversal of 2113664 is 4663112.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1960000 + 153664 = 1400^2 + 392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6104 + ... + 6440.

2^2113664 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 2113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456415).

2113664 is an abundant number, since it is smaller than the sum of its proper divisors (2799166).

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

2113664 is an equidigital number, since it uses as much as digits as its factorization.

2113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 346 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 2113664 is about 1453.8445584037. The cubic root of 2113664 is about 128.3350596646.

Adding to 2113664 its reverse (4663112), we get a palindrome (6776776).

The spelling of 2113664 in words is "two million, one hundred thirteen thousand, six hundred sixty-four".