4813680 has 80 divisors (see below), whose sum is σ = 15427584. Its totient is φ = 1240320.

The previous prime is 4813673. The next prime is 4813691. The reversal of 4813680 is 863184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7117 + ... + 7763.

Almost surely, 2^4813680 is an apocalyptic number.

4813680 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 4813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713792).

4813680 is an abundant number, since it is smaller than the sum of its proper divisors (10613904).

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

4813680 is a wasteful number, since it uses less digits than its factorization.

4813680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4813680 is about 2194.0100273244. The cubic root of 4813680 is about 168.8466332678.

The spelling of 4813680 in words is "four million, eight hundred thirteen thousand, six hundred eighty".