4672116 has 36 divisors (see below), whose sum is σ = 11882052. Its totient is φ = 1547904.

The previous prime is 4672099. The next prime is 4672117. The reversal of 4672116 is 6112764.

It can be written as a sum of positive squares in 2 ways, for example, as 656100 + 4016016 = 810^2 + 2004^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4672116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672117) 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 11 ways as a sum of consecutive naturals, for example, 8110 + ... + 8666.

It is an arithmetic number, because the mean of its divisors is an integer number (330057).

Almost surely, 2^4672116 is an apocalyptic number.

It is an amenable number.

4672116 is an abundant number, since it is smaller than the sum of its proper divisors (7209936).

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

4672116 is a wasteful number, since it uses less digits than its factorization.

4672116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 795 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 4672116 is about 2161.5078070643. The cubic root of 4672116 is about 167.1749514150.

The spelling of 4672116 in words is "four million, six hundred seventy-two thousand, one hundred sixteen".