4677648 has 80 divisors (see below), whose sum is σ = 13332480. Its totient is φ = 1406592.

The previous prime is 4677623. The next prime is 4677653. The reversal of 4677648 is 8467764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20865 + ... + 21087.

It is an arithmetic number, because the mean of its divisors is an integer number (166656).

Almost surely, 2^4677648 is an apocalyptic number.

4677648 is a gapful number since it is divisible by the number (48) 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 4677648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666240).

4677648 is an abundant number, since it is smaller than the sum of its proper divisors (8654832).

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

4677648 is a wasteful number, since it uses less digits than its factorization.

4677648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 4677648 is about 2162.7870907697. The cubic root of 4677648 is about 167.2409063317.

The spelling of 4677648 in words is "four million, six hundred seventy-seven thousand, six hundred forty-eight".