4631680 has 32 divisors (see below), whose sum is σ = 11074140. Its totient is φ = 1852416.

The previous prime is 4631663. The next prime is 4631681. The reversal of 4631680 is 861364.

It can be written as a sum of positive squares in 2 ways, for example, as 4631104 + 576 = 2152^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (4631681) 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, 2979 + ... + 4258.

Almost surely, 2^4631680 is an apocalyptic number.

4631680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4631680 is an abundant number, since it is smaller than the sum of its proper divisors (6442460).

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

4631680 is an equidigital number, since it uses as much as digits as its factorization.

4631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7256 (or 7244 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4631680 is about 2152.1338248352. The cubic root of 4631680 is about 166.6912674797.

The spelling of 4631680 in words is "four million, six hundred thirty-one thousand, six hundred eighty".