4681680 has 40 divisors (see below), whose sum is σ = 14513952. Its totient is φ = 1248384.

The previous prime is 4681661. The next prime is 4681693. The reversal of 4681680 is 861864.

4681680 = T₁₆ + T₁₇ + ... + T₃₀₃.

4681680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9514 + ... + 9993.

Almost surely, 2^4681680 is an apocalyptic number.

4681680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4681680 is an abundant number, since it is smaller than the sum of its proper divisors (9832272).

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

4681680 is a wasteful number, since it uses less digits than its factorization.

4681680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19523 (or 19517 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4681680 is about 2163.7190205755. The cubic root of 4681680 is about 167.2889448388.

The spelling of 4681680 in words is "four million, six hundred eighty-one thousand, six hundred eighty".