4864320 has 112 divisors (see below), whose sum is σ = 17190720. Its totient is φ = 1294848.

The previous prime is 4864319. The next prime is 4864369. The reversal of 4864320 is 234684.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8359 + ... + 8921.

Almost surely, 2^4864320 is an apocalyptic number.

4864320 is a gapful number since it is divisible by the number (40) 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 4864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8595360).

4864320 is an abundant number, since it is smaller than the sum of its proper divisors (12326400).

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

4864320 is a wasteful number, since it uses less digits than its factorization.

4864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 573 counting only the distinct ones).

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

The square root of 4864320 is about 2205.5203467663. The cubic root of 4864320 is about 169.4366589234.

It can be divided in two parts, 4864 and 320, that added together give a square (5184 = 72²).

The spelling of 4864320 in words is "four million, eight hundred sixty-four thousand, three hundred twenty".