5664736 has 96 divisors (see below), whose sum is σ = 14757120. Its totient is φ = 2090880.

The previous prime is 5664731. The next prime is 5664779. The reversal of 5664736 is 6374665.

It is a junction number, because it is equal to n+sod(n) for n = 5664695 and 5664704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5664731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298135 + ... + 298153.

It is an arithmetic number, because the mean of its divisors is an integer number (153720).

Almost surely, 2^5664736 is an apocalyptic number.

5664736 is a gapful number since it is divisible by the number (56) 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 5664736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7378560).

5664736 is an abundant number, since it is smaller than the sum of its proper divisors (9092384).

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

5664736 is a wasteful number, since it uses less digits than its factorization.

5664736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 39 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The square root of 5664736 is about 2380.0705871885. The cubic root of 5664736 is about 178.2624584190.

It can be divided in two parts, 5664 and 736, that added together give a square (6400 = 80²).

The spelling of 5664736 in words is "five million, six hundred sixty-four thousand, seven hundred thirty-six".