616820736 has 208 divisors, whose sum is σ = 1924950528. Its totient is φ = 172032000.

The previous prime is 616820723. The next prime is 616820773. The reversal of 616820736 is 637028616.

It is a junction number, because it is equal to n+sod(n) for n = 616820694 and 616820703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6107086 + ... + 6107186.

Almost surely, 2^616820736 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 616820736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962475264).

616820736 is an abundant number, since it is smaller than the sum of its proper divisors (1308129792).

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

616820736 is a wasteful number, since it uses less digits than its factorization.

616820736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 616820736 is about 24835.8759861616. The cubic root of 616820736 is about 851.2418921474.

The spelling of 616820736 in words is "six hundred sixteen million, eight hundred twenty thousand, seven hundred thirty-six".