5711664 has 80 divisors (see below), whose sum is σ = 17141760. Its totient is φ = 1605120.

The previous prime is 5711663. The next prime is 5711681. The reversal of 5711664 is 4661175.

It is not an unprimeable number, because it can be changed into a prime (5711663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29809 + ... + 29999.

It is an arithmetic number, because the mean of its divisors is an integer number (214272).

Almost surely, 2^5711664 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 5711664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570880).

5711664 is an abundant number, since it is smaller than the sum of its proper divisors (11430096).

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

5711664 is a wasteful number, since it uses less digits than its factorization.

5711664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 5711664 is about 2389.9087848703. The cubic root of 5711664 is about 178.7533613074.

The spelling of 5711664 in words is "five million, seven hundred eleven thousand, six hundred sixty-four".