4582116 has 192 divisors, whose sum is σ = 16128000. Its totient is φ = 1088640.

The previous prime is 4582103. The next prime is 4582139. The reversal of 4582116 is 6112854.

4582116 is a nontrivial binomial coefficient, being equal to C(58, 5).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4582116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157990 + ... + 158018.

It is an arithmetic number, because the mean of its divisors is an integer number (84000).

Almost surely, 2^4582116 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 4582116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064000).

4582116 is an abundant number, since it is smaller than the sum of its proper divisors (11545884).

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

4582116 is a wasteful number, since it uses less digits than its factorization.

4582116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 4582116 is about 2140.5877697492. The cubic root of 4582116 is about 166.0945413944.

The spelling of 4582116 in words is "four million, five hundred eighty-two thousand, one hundred sixteen".