5729664 has 64 divisors (see below), whose sum is σ = 15618240. Its totient is φ = 1860096.

The previous prime is 5729657. The next prime is 5729683. The reversal of 5729664 is 4669275.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16339 + ... + 16685.

It is an arithmetic number, because the mean of its divisors is an integer number (244035).

Almost surely, 2^5729664 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 5729664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809120).

5729664 is an abundant number, since it is smaller than the sum of its proper divisors (9888576).

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

5729664 is a wasteful number, since it uses less digits than its factorization.

5729664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 395 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 5729664 is about 2393.6716566814. The cubic root of 5729664 is about 178.9409415770.

The spelling of 5729664 in words is "five million, seven hundred twenty-nine thousand, six hundred sixty-four".