4641680 has 40 divisors (see below), whose sum is σ = 11430072. Its totient is φ = 1746944.

The previous prime is 4641667. The next prime is 4641683. The reversal of 4641680 is 861464.

It can be written as a sum of positive squares in 4 ways, for example, as 2119936 + 2521744 = 1456^2 + 1588^2 .

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4641683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347 + ... + 3066.

Almost surely, 2^4641680 is an apocalyptic number.

4641680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4641680 is an abundant number, since it is smaller than the sum of its proper divisors (6788392).

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

4641680 is a wasteful number, since it uses less digits than its factorization.

4641680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 4641680 is about 2154.4558477722. The cubic root of 4641680 is about 166.8111458295.

The spelling of 4641680 in words is "four million, six hundred forty-one thousand, six hundred eighty".