4685120 has 70 divisors (see below), whose sum is σ = 12272010. Its totient is φ = 1703680.

The previous prime is 4685119. The next prime is 4685129. The reversal of 4685120 is 215864.

It can be written as a sum of positive squares in only one way, i.e., 3748096 + 937024 = 1936^2 + 968^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4685120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4685129) 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 9 ways as a sum of consecutive naturals, for example, 425915 + ... + 425925.

Almost surely, 2^4685120 is an apocalyptic number.

4685120 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 4685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6136005).

4685120 is an abundant number, since it is smaller than the sum of its proper divisors (7586890).

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

4685120 is an frugal number, since it uses more digits than its factorization.

4685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 4685120 is about 2164.5138022198. The cubic root of 4685120 is about 167.3299082735.

The spelling of 4685120 in words is "four million, six hundred eighty-five thousand, one hundred twenty".