3024864 has 72 divisors (see below), whose sum is σ = 8943480. Its totient is φ = 1005696.

The previous prime is 3024863. The next prime is 3024877. The reversal of 3024864 is 4684203.

3024864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3024863) 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 11 ways as a sum of consecutive naturals, for example, 7582 + ... + 7970.

It is an arithmetic number, because the mean of its divisors is an integer number (124215).

Almost surely, 2^3024864 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 3024864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471740).

3024864 is an abundant number, since it is smaller than the sum of its proper divisors (5918616).

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

3024864 is an equidigital number, since it uses as much as digits as its factorization.

3024864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3024864 is about 1739.2136154021. The cubic root of 3024864 is about 144.6223067806.

The spelling of 3024864 in words is "three million, twenty-four thousand, eight hundred sixty-four".