4712616 has 96 divisors (see below), whose sum is σ = 13782600. Its totient is φ = 1451520.

The previous prime is 4712599. The next prime is 4712629. The reversal of 4712616 is 6162174.

4712616 is a `hidden beast` number, since 47 + 1 + 2 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3802500 + 910116 = 1950^2 + 954^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4712616.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 77226 + ... + 77286.

Almost surely, 2^4712616 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 4712616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891300).

4712616 is an abundant number, since it is smaller than the sum of its proper divisors (9069984).

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

4712616 is a wasteful number, since it uses less digits than its factorization.

4712616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 132 counting only the distinct ones).

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

The square root of 4712616 is about 2170.8560523443. The cubic root of 4712616 is about 167.6566115245.

The spelling of 4712616 in words is "four million, seven hundred twelve thousand, six hundred sixteen".