4677680 has 40 divisors (see below), whose sum is σ = 12430752. Its totient is φ = 1603584.

The previous prime is 4677679. The next prime is 4677691. The reversal of 4677680 is 867764.

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

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, 3617 + ... + 4736.

Almost surely, 2^4677680 is an apocalyptic number.

4677680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4677680 is an abundant number, since it is smaller than the sum of its proper divisors (7753072).

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

4677680 is a wasteful number, since it uses less digits than its factorization.

4677680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8373 (or 8367 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 4677680 is about 2162.7944886188. The cubic root of 4677680 is about 167.2412876983.

The spelling of 4677680 in words is "four million, six hundred seventy-seven thousand, six hundred eighty".