2005696 has 84 divisors (see below), whose sum is σ = 5134864. Its totient is φ = 760320.

The previous prime is 2005693. The next prime is 2005723. The reversal of 2005696 is 6965002.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2005693) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54190 + ... + 54226.

2^2005696 is an apocalyptic number.

2005696 is the 896-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567432).

2005696 is an abundant number, since it is smaller than the sum of its proper divisors (3129168).

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

2005696 is a wasteful number, since it uses less digits than its factorization.

2005696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 2005696 is about 1416.2259706699. The cubic root of 2005696 is about 126.1116001255. Note that the first 3 decimals are identical.

It can be divided in two parts, 2005 and 696, that added together give a triangular number (2701 = T₇₃).

The spelling of 2005696 in words is "two million, five thousand, six hundred ninety-six".