616767616 has 48 divisors (see below), whose sum is σ = 1305324090. Its totient is φ = 290226176.

The previous prime is 616767611. The next prime is 616767617.

It is a happy number.

616767616 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 600446016 + 16321600 = 24504^2 + 4040^2 .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616767611) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28656 + ... + 45328.

Almost surely, 2^616767616 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 616767616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652662045).

616767616 is an abundant number, since it is smaller than the sum of its proper divisors (688556474).

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

616767616 is a wasteful number, since it uses less digits than its factorization.

616767616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16721 (or 16692 counting only the distinct ones).

The product of its digits is 381024, while the sum is 46.

The square root of 616767616 is about 24834.8065424315. The cubic root of 616767616 is about 851.2174554055.

The spelling of 616767616 in words is "six hundred sixteen million, seven hundred sixty-seven thousand, six hundred sixteen".