4964320 has 96 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 1774080.

The previous prime is 4964317. The next prime is 4964341. The reversal of 4964320 is 234694.

It is a d-powerful number, because it can be written as 4³ + 9⁷ + 6² + 4⁶ + 3¹¹ + 2³ + 0 .

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, 69885 + ... + 69955.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 2^4964320 is an apocalyptic number.

4964320 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 4964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

4964320 is an abundant number, since it is smaller than the sum of its proper divisors (8099360).

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

4964320 is a wasteful number, since it uses less digits than its factorization.

4964320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 4964320 is about 2228.0754026738. The cubic root of 4964320 is about 170.5898770213.

It can be divided in two parts, 4 and 964320, that added together give a square (964324 = 982²).

The spelling of 4964320 in words is "four million, nine hundred sixty-four thousand, three hundred twenty".