4689216 has 84 divisors (see below), whose sum is σ = 15374112. Its totient is φ = 1338624.

The previous prime is 4689197. The next prime is 4689239. The reversal of 4689216 is 6129864.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3451 + ... + 4613.

Almost surely, 2^4689216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4689216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7687056).

4689216 is an abundant number, since it is smaller than the sum of its proper divisors (10684896).

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

4689216 is a wasteful number, since it uses less digits than its factorization.

4689216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1175 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 4689216 is about 2165.4597664237. The cubic root of 4689216 is about 167.3786571969.

The spelling of 4689216 in words is "four million, six hundred eighty-nine thousand, two hundred sixteen".