4658680 has 96 divisors (see below), whose sum is σ = 12378240. Its totient is φ = 1566720.

The previous prime is 4658677. The next prime is 4658701. The reversal of 4658680 is 868564.

4658680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150265 + ... + 150295.

It is an arithmetic number, because the mean of its divisors is an integer number (128940).

Almost surely, 2^4658680 is an apocalyptic number.

4658680 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 4658680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189120).

4658680 is an abundant number, since it is smaller than the sum of its proper divisors (7719560).

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

4658680 is a wasteful number, since it uses less digits than its factorization.

4658680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 4658680 is about 2158.3975537421. The cubic root of 4658680 is about 167.0145444920.

The spelling of 4658680 in words is "four million, six hundred fifty-eight thousand, six hundred eighty".