2105664 has 56 divisors (see below), whose sum is σ = 6083808. Its totient is φ = 637440.

The previous prime is 2105641. The next prime is 2105669. The reversal of 2105664 is 4665012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1614 + ... + 2610.

2^2105664 is an apocalyptic number.

2105664 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 2105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041904).

2105664 is an abundant number, since it is smaller than the sum of its proper divisors (3978144).

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

2105664 is a wasteful number, since it uses less digits than its factorization.

2105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2105664 is about 1451.0906243236. The cubic root of 2105664 is about 128.1729433110.

The spelling of 2105664 in words is "two million, one hundred five thousand, six hundred sixty-four".