4506720 has 96 divisors (see below), whose sum is σ = 14605920. Its totient is φ = 1167360.

The previous prime is 4506709. The next prime is 4506731. The reversal of 4506720 is 276054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4506709) and next prime (4506731).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19566 + ... + 19794.

It is an arithmetic number, because the mean of its divisors is an integer number (152145).

Almost surely, 2^4506720 is an apocalyptic number.

4506720 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 4506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302960).

4506720 is an abundant number, since it is smaller than the sum of its proper divisors (10099200).

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

4506720 is a wasteful number, since it uses less digits than its factorization.

4506720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 4506720 is about 2122.9036718608. The cubic root of 4506720 is about 165.1785028710.

The spelling of 4506720 in words is "four million, five hundred six thousand, seven hundred twenty".