4967920 has 20 divisors (see below), whose sum is σ = 11550600. Its totient is φ = 1987136.

The previous prime is 4967917. The next prime is 4967923. The reversal of 4967920 is 297694.

It is an interprime number because it is at equal distance from previous prime (4967917) and next prime (4967923).

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 4967920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4967923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30970 + ... + 31129.

It is an arithmetic number, because the mean of its divisors is an integer number (577530).

Almost surely, 2^4967920 is an apocalyptic number.

4967920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4967920 is an abundant number, since it is smaller than the sum of its proper divisors (6582680).

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

4967920 is a wasteful number, since it uses less digits than its factorization.

4967920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62112 (or 62106 counting only the distinct ones).

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

The square root of 4967920 is about 2228.8831283852. The cubic root of 4967920 is about 170.6311028870.

The spelling of 4967920 in words is "four million, nine hundred sixty-seven thousand, nine hundred twenty".