4819680 has 72 divisors (see below), whose sum is σ = 16452072. Its totient is φ = 1284864.

The previous prime is 4819669. The next prime is 4819697. The reversal of 4819680 is 869184.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234 + ... + 3113.

It is an arithmetic number, because the mean of its divisors is an integer number (228501).

Almost surely, 2^4819680 is an apocalyptic number.

4819680 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 4819680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8226036).

4819680 is an abundant number, since it is smaller than the sum of its proper divisors (11632392).

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

4819680 is a wasteful number, since it uses less digits than its factorization.

4819680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4819680 is about 2195.3769607974. The cubic root of 4819680 is about 168.9167569689.

The spelling of 4819680 in words is "four million, eight hundred nineteen thousand, six hundred eighty".