4785160 has 64 divisors (see below), whose sum is σ = 11819520. Its totient is φ = 1735680.

The previous prime is 4785119. The next prime is 4785161. The reversal of 4785160 is 615874.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (4785161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20967 + ... + 21193.

It is an arithmetic number, because the mean of its divisors is an integer number (184680).

Almost surely, 2^4785160 is an apocalyptic number.

4785160 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 4785160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909760).

4785160 is an abundant number, since it is smaller than the sum of its proper divisors (7034360).

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

4785160 is a wasteful number, since it uses less digits than its factorization.

4785160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 4785160 is about 2187.5008571427. The cubic root of 4785160 is about 168.5125127556.

The spelling of 4785160 in words is "four million, seven hundred eighty-five thousand, one hundred sixty".