4585968 has 30 divisors (see below), whose sum is σ = 12834744. Its totient is φ = 1528608.

The previous prime is 4585967. The next prime is 4585969. The reversal of 4585968 is 8695854.

4585968 is a `hidden beast` number, since 4 + 58 + 596 + 8 = 666.

4585968 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (4585967) and next prime (4585969).

It is a super-2 number, since 2×4585968² = 42062204994048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4585967) 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 5 ways as a sum of consecutive naturals, for example, 15780 + ... + 16067.

Almost surely, 2^4585968 is an apocalyptic number.

4585968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4585968 is an abundant number, since it is smaller than the sum of its proper divisors (8248776).

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

4585968 is a wasteful number, since it uses less digits than its factorization.

4585968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31861 (or 31852 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 4585968 is about 2141.4873336072. The cubic root of 4585968 is about 166.1410713508.

The spelling of 4585968 in words is "four million, five hundred eighty-five thousand, nine hundred sixty-eight".