4567920 has 80 divisors (see below), whose sum is σ = 16189440. Its totient is φ = 1043712.

The previous prime is 4567919. The next prime is 4567931. The reversal of 4567920 is 297654.

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

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, 321 + ... + 3039.

It is an arithmetic number, because the mean of its divisors is an integer number (202368).

Almost surely, 2^4567920 is an apocalyptic number.

4567920 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 4567920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8094720).

4567920 is an abundant number, since it is smaller than the sum of its proper divisors (11621520).

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

4567920 is a wasteful number, since it uses less digits than its factorization.

4567920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 4567920 is about 2137.2692857944. The cubic root of 4567920 is about 165.9228363484.

The spelling of 4567920 in words is "four million, five hundred sixty-seven thousand, nine hundred twenty".