4667680 has 24 divisors (see below), whose sum is σ = 11027772. Its totient is φ = 1867008.

The previous prime is 4667669. The next prime is 4667681. The reversal of 4667680 is 867664.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 456976 = 2052^2 + 676^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4667681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14427 + ... + 14746.

Almost surely, 2^4667680 is an apocalyptic number.

4667680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4667680 is an abundant number, since it is smaller than the sum of its proper divisors (6360092).

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

4667680 is a wasteful number, since it uses less digits than its factorization.

4667680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29188 (or 29180 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 4667680 is about 2160.4814278304. The cubic root of 4667680 is about 167.1220258661.

The spelling of 4667680 in words is "four million, six hundred sixty-seven thousand, six hundred eighty".