4631616 has 168 divisors, whose sum is σ = 15691104. Its totient is φ = 1290240.

The previous prime is 4631597. The next prime is 4631629. The reversal of 4631616 is 6161364.

4631616 is a `hidden beast` number, since 46 + 3 + 1 + 616 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4631616.

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, 107691 + ... + 107733.

Almost surely, 2^4631616 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 4631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845552).

4631616 is an abundant number, since it is smaller than the sum of its proper divisors (11059488).

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

4631616 is a wasteful number, since it uses less digits than its factorization.

4631616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 76 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 4631616 is about 2152.1189558201. The cubic root of 4631616 is about 166.6904997029.

The spelling of 4631616 in words is "four million, six hundred thirty-one thousand, six hundred sixteen".