4884672 has 112 divisors (see below), whose sum is σ = 14792960. Its totient is φ = 1410048.

The previous prime is 4884643. The next prime is 4884683. The reversal of 4884672 is 2764884.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4884672.

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 15 ways as a sum of consecutive naturals, for example, 47373 + ... + 47475.

It is an arithmetic number, because the mean of its divisors is an integer number (132080).

Almost surely, 2^4884672 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 4884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7396480).

4884672 is an abundant number, since it is smaller than the sum of its proper divisors (9908288).

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

4884672 is a wasteful number, since it uses less digits than its factorization.

4884672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 4884672 is about 2210.1294079759. The cubic root of 4884672 is about 169.6726341314.

It can be divided in two parts, 48 and 84672, that multiplied together give a square (4064256 = 2016²).

The spelling of 4884672 in words is "four million, eight hundred eighty-four thousand, six hundred seventy-two".