4919920 has 40 divisors (see below), whose sum is σ = 11584080. Its totient is φ = 1943040.

The previous prime is 4919911. The next prime is 4919921. The reversal of 4919920 is 299194.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4919920² = 48411225612800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4919921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6775 + ... + 7465.

It is an arithmetic number, because the mean of its divisors is an integer number (289602).

Almost surely, 2^4919920 is an apocalyptic number.

4919920 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 4919920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5792040).

4919920 is an abundant number, since it is smaller than the sum of its proper divisors (6664160).

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

4919920 is a wasteful number, since it uses less digits than its factorization.

4919920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 4919920 is about 2218.0892678159. The cubic root of 4919920 is about 170.0797780113.

The spelling of 4919920 in words is "four million, nine hundred nineteen thousand, nine hundred twenty".