2107664 has 20 divisors (see below), whose sum is σ = 4398156. Its totient is φ = 972672.

The previous prime is 2107663. The next prime is 2107667. The reversal of 2107664 is 4667012.

It can be written as a sum of positive squares in 2 ways, for example, as 984064 + 1123600 = 992^2 + 1060^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2107661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4859 + ... + 5274.

2^2107664 is an apocalyptic number.

It is an amenable number.

2107664 is an abundant number, since it is smaller than the sum of its proper divisors (2290492).

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

2107664 is a wasteful number, since it uses less digits than its factorization.

2107664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10154 (or 10148 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 2107664 is about 1451.7795975974. The cubic root of 2107664 is about 128.2135108420.

The spelling of 2107664 in words is "two million, one hundred seven thousand, six hundred sixty-four".