4806864 has 50 divisors (see below), whose sum is σ = 13916210. Its totient is φ = 1601856.

The previous prime is 4806863. The next prime is 4806871. The reversal of 4806864 is 4686084.

It can be written as a sum of positive squares in only one way, i.e., 3640464 + 1166400 = 1908^2 + 1080^2 .

It is a super-3 number, since 3×4806864³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4806863) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 559 + ... + 3150.

Almost surely, 2^4806864 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 4806864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958105).

4806864 is an abundant number, since it is smaller than the sum of its proper divisors (9109346).

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

4806864 is a wasteful number, since it uses less digits than its factorization.

4806864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4806864 is about 2192.4561569163. The cubic root of 4806864 is about 168.7669020107.

It can be divided in two parts, 480686 and 4, that added together give a triangular number (480690 = T₉₈₀).

The spelling of 4806864 in words is "four million, eight hundred six thousand, eight hundred sixty-four".