4632516 has 72 divisors (see below), whose sum is σ = 13837824. Its totient is φ = 1278720.

The previous prime is 4632497. The next prime is 4632527. The reversal of 4632516 is 6152364.

4632516 = 24² + 25² + ... + 240².

4632516 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4632516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7516 + ... + 8108.

It is an arithmetic number, because the mean of its divisors is an integer number (192192).

Almost surely, 2^4632516 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 4632516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918912).

4632516 is an abundant number, since it is smaller than the sum of its proper divisors (9205308).

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

4632516 is a wasteful number, since it uses less digits than its factorization.

4632516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 636 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 4632516 is about 2152.3280419118. The cubic root of 4632516 is about 166.7012959155.

The spelling of 4632516 in words is "four million, six hundred thirty-two thousand, five hundred sixteen".