5864768 has 112 divisors (see below), whose sum is σ = 15361920. Its totient is φ = 2156544.

The previous prime is 5864753. The next prime is 5864773. The reversal of 5864768 is 8674685.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 110630 + ... + 110682.

It is an arithmetic number, because the mean of its divisors is an integer number (137160).

Almost surely, 2^5864768 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 5864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680960).

5864768 is an abundant number, since it is smaller than the sum of its proper divisors (9497152).

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

5864768 is a wasteful number, since it uses less digits than its factorization.

5864768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its digits is 322560, while the sum is 44.

The square root of 5864768 is about 2421.7283084607. The cubic root of 5864768 is about 180.3364899192.

The spelling of 5864768 in words is "five million, eight hundred sixty-four thousand, seven hundred sixty-eight".