4679920 has 80 divisors (see below), whose sum is σ = 12731328. Its totient is φ = 1566720.

The previous prime is 4679911. The next prime is 4679921. The reversal of 4679920 is 299764.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4679920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4679921) by changing a digit.

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, 34092 + ... + 34228.

Almost surely, 2^4679920 is an apocalyptic number.

4679920 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 4679920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6365664).

4679920 is an abundant number, since it is smaller than the sum of its proper divisors (8051408).

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

4679920 is a wasteful number, since it uses less digits than its factorization.

4679920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 4679920 is about 2163.3122751928. The cubic root of 4679920 is about 167.2679790426.

The spelling of 4679920 in words is "four million, six hundred seventy-nine thousand, nine hundred twenty".