4687680 has 112 divisors (see below), whose sum is σ = 15727680. Its totient is φ = 1179648.

The previous prime is 4687679. The next prime is 4687681. The reversal of 4687680 is 867864.

It is an interprime number because it is at equal distance from previous prime (4687679) and next prime (4687681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4687681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18112 + ... + 18368.

Almost surely, 2^4687680 is an apocalyptic number.

4687680 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 4687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7863840).

4687680 is an abundant number, since it is smaller than the sum of its proper divisors (11040000).

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

4687680 is a wasteful number, since it uses less digits than its factorization.

4687680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 4687680 is about 2165.1050782814. The cubic root of 4687680 is about 167.3603796786.

The spelling of 4687680 in words is "four million, six hundred eighty-seven thousand, six hundred eighty".