4587680 has 48 divisors (see below), whose sum is σ = 11063304. Its totient is φ = 1797120.

The previous prime is 4587679. The next prime is 4587703. The reversal of 4587680 is 867854.

It can be written as a sum of positive squares in 4 ways, for example, as 3888784 + 698896 = 1972^2 + 836^2 .

It is an Ulam number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8210 + ... + 8750.

Almost surely, 2^4587680 is an apocalyptic number.

4587680 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 4587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531652).

4587680 is an abundant number, since it is smaller than the sum of its proper divisors (6475624).

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

4587680 is a wasteful number, since it uses less digits than its factorization.

4587680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 4587680 is about 2141.8870184956. The cubic root of 4587680 is about 166.1617429682.

The spelling of 4587680 in words is "four million, five hundred eighty-seven thousand, six hundred eighty".