4688684 has 48 divisors (see below), whose sum is σ = 11026176. Its totient is φ = 1684800.

The previous prime is 4688683. The next prime is 4688693. The reversal of 4688684 is 4868864.

4688684 = T₃₀₇ + T₃₀₈ + ... + T₃₈₄.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (4688683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3419 + ... + 4589.

It is an arithmetic number, because the mean of its divisors is an integer number (229712).

Almost surely, 2^4688684 is an apocalyptic number.

4688684 is a gapful number since it is divisible by the number (44) 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 4688684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513088).

4688684 is an abundant number, since it is smaller than the sum of its proper divisors (6337492).

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

4688684 is a wasteful number, since it uses less digits than its factorization.

4688684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1204 counting only the distinct ones).

The product of its digits is 294912, while the sum is 44.

The square root of 4688684 is about 2165.3369252844. The cubic root of 4688684 is about 167.3723271541.

The spelling of 4688684 in words is "four million, six hundred eighty-eight thousand, six hundred eighty-four".