4980096 has 128 divisors (see below), whose sum is σ = 16156800. Its totient is φ = 1497600.

The previous prime is 4980067. The next prime is 4980097. The reversal of 4980096 is 6900894.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 4980096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4980097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37951 + ... + 38081.

It is an arithmetic number, because the mean of its divisors is an integer number (126225).

Almost surely, 2^4980096 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 4980096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8078400).

4980096 is an abundant number, since it is smaller than the sum of its proper divisors (11176704).

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

4980096 is a wasteful number, since it uses less digits than its factorization.

4980096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4980096 is about 2231.6128696528. The cubic root of 4980096 is about 170.7703905074.

It can be divided in two parts, 4 and 980096, that added together give a square (980100 = 990²).

The spelling of 4980096 in words is "four million, nine hundred eighty thousand, ninety-six".