4560864 has 96 divisors (see below), whose sum is σ = 14950656. Its totient is φ = 1182720.

The previous prime is 4560851. The next prime is 4560869. The reversal of 4560864 is 4680654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4560869) 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, 7084 + ... + 7700.

It is an arithmetic number, because the mean of its divisors is an integer number (155736).

Almost surely, 2^4560864 is an apocalyptic number.

4560864 is a gapful number since it is divisible by the number (44) 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 4560864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7475328).

4560864 is an abundant number, since it is smaller than the sum of its proper divisors (10389792).

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

4560864 is a wasteful number, since it uses less digits than its factorization.

4560864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4560864 is about 2135.6179433597. The cubic root of 4560864 is about 165.8373594527.

The spelling of 4560864 in words is "four million, five hundred sixty thousand, eight hundred sixty-four".