4864720 has 120 divisors (see below), whose sum is σ = 14121864. Its totient is φ = 1548288.

The previous prime is 4864709. The next prime is 4864729. The reversal of 4864720 is 274684.

It can be written as a sum of positive squares in 4 ways, for example, as 1132096 + 3732624 = 1064^2 + 1932^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4864729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66604 + ... + 66676.

Almost surely, 2^4864720 is an apocalyptic number.

4864720 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 4864720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7060932).

4864720 is an abundant number, since it is smaller than the sum of its proper divisors (9257144).

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

4864720 is a wasteful number, since it uses less digits than its factorization.

4864720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 4864720 is about 2205.6110264505. The cubic root of 4864720 is about 169.4413031358.

The spelling of 4864720 in words is "four million, eight hundred sixty-four thousand, seven hundred twenty".