4065696 has 72 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 1282176.

The previous prime is 4065667. The next prime is 4065697. The reversal of 4065696 is 6965604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4065696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4065697) 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, 5101 + ... + 5843.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 2^4065696 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 4065696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

4065696 is an abundant number, since it is smaller than the sum of its proper divisors (8121024).

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

4065696 is a wasteful number, since it uses less digits than its factorization.

4065696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4065696 is about 2016.3571112281. The cubic root of 4065696 is about 159.6044395471.

It can be divided in two parts, 4065 and 696, that added together give a square (4761 = 69²).

The spelling of 4065696 in words is "four million, sixty-five thousand, six hundred ninety-six".