4676680 has 32 divisors (see below), whose sum is σ = 10771200. Its totient is φ = 1826496.

The previous prime is 4676671. The next prime is 4676713. The reversal of 4676680 is 866764.

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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361 + ... + 3079.

It is an arithmetic number, because the mean of its divisors is an integer number (336600).

Almost surely, 2^4676680 is an apocalyptic number.

4676680 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 4676680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385600).

4676680 is an abundant number, since it is smaller than the sum of its proper divisors (6094520).

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

4676680 is a wasteful number, since it uses less digits than its factorization.

4676680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2769 counting only the distinct ones).

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

The square root of 4676680 is about 2162.5632938714. The cubic root of 4676680 is about 167.2293691684.

It can be divided in two parts, 4676 and 680, that added together give a triangular number (5356 = T₁₀₃).

The spelling of 4676680 in words is "four million, six hundred seventy-six thousand, six hundred eighty".