4879680 has 224 divisors, whose sum is σ = 18434304. Its totient is φ = 1081344.

The previous prime is 4879669. The next prime is 4879687. The reversal of 4879680 is 869784.

It is a happy number.

It is a Cunningham number, because it is equal to 47⁴-1.

It is a super-2 number, since 2×4879680² = 47622553804800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4879687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212149 + ... + 212171.

It is an arithmetic number, because the mean of its divisors is an integer number (82296).

Almost surely, 2^4879680 is an apocalyptic number.

4879680 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 4879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9217152).

4879680 is an abundant number, since it is smaller than the sum of its proper divisors (13554624).

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

4879680 is a wasteful number, since it uses less digits than its factorization.

4879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 4879680 is about 2208.9997736532. Note that the first 3 decimals coincide. The cubic root of 4879680 is about 169.6148141800.

The spelling of 4879680 in words is "four million, eight hundred seventy-nine thousand, six hundred eighty".