4812864 has 56 divisors (see below), whose sum is σ = 14557248. Its totient is φ = 1374720.

The previous prime is 4812859. The next prime is 4812883. The reversal of 4812864 is 4682184.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447 + ... + 3134.

Almost surely, 2^4812864 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 4812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7278624).

4812864 is an abundant number, since it is smaller than the sum of its proper divisors (9744384).

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

4812864 is a wasteful number, since it uses less digits than its factorization.

4812864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3593 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 4812864 is about 2193.8240585790. The cubic root of 4812864 is about 168.8370919439.

The spelling of 4812864 in words is "four million, eight hundred twelve thousand, eight hundred sixty-four".