4800096 has 72 divisors (see below), whose sum is σ = 15606864. Its totient is φ = 1370880.

The previous prime is 4800091. The next prime is 4800101. The reversal of 4800096 is 6900084.

It is an interprime number because it is at equal distance from previous prime (4800091) and next prime (4800101).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4800091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 826 + ... + 3206.

It is an arithmetic number, because the mean of its divisors is an integer number (216762).

Almost surely, 2^4800096 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 4800096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7803432).

4800096 is an abundant number, since it is smaller than the sum of its proper divisors (10806768).

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

4800096 is a wasteful number, since it uses less digits than its factorization.

4800096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4800096 is about 2190.9121388134. The cubic root of 4800096 is about 168.6876576297.

The spelling of 4800096 in words is "four million, eight hundred thousand, ninety-six".