4680585 has 80 divisors (see below), whose sum is σ = 10407936. Its totient is φ = 1959552.

The previous prime is 4680583. The next prime is 4680587. The reversal of 4680585 is 5850864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4680583) and next prime (4680587).

It is not a de Polignac number, because 4680585 - 2¹ = 4680583 is a prime.

4680585 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4680583) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36792 + ... + 36918.

Almost surely, 2^4680585 is an apocalyptic number.

4680585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4680585 is an abundant number, since it is smaller than the sum of its proper divisors (5727351).

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

4680585 is a wasteful number, since it uses less digits than its factorization.

4680585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4680585 is about 2163.4659692262. The cubic root of 4680585 is about 167.2759013958.

The spelling of 4680585 in words is "four million, six hundred eighty thousand, five hundred eighty-five".