4689680 has 60 divisors (see below), whose sum is σ = 11451276. Its totient is φ = 1785600.

The previous prime is 4689667. The next prime is 4689689. The reversal of 4689680 is 869864.

It can be written as a sum of positive squares in 2 ways, for example, as 753424 + 3936256 = 868^2 + 1984^2 .

It is not an unprimeable number, because it can be changed into a prime (4689689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76850 + ... + 76910.

Almost surely, 2^4689680 is an apocalyptic number.

4689680 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 4689680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725638).

4689680 is an abundant number, since it is smaller than the sum of its proper divisors (6761596).

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

4689680 is a wasteful number, since it uses less digits than its factorization.

4689680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 4689680 is about 2165.5669003750. The cubic root of 4689680 is about 167.3841777455.

The spelling of 4689680 in words is "four million, six hundred eighty-nine thousand, six hundred eighty".