616806720 has 168 divisors, whose sum is σ = 2149205760. Its totient is φ = 162339840.

The previous prime is 616806689. The next prime is 616806779. The reversal of 616806720 is 27608616.

It is a happy number.

It is a super-3 number, since 3×616806720³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 226165 + ... + 228875.

Almost surely, 2^616806720 is an apocalyptic number.

616806720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074602880).

616806720 is an abundant number, since it is smaller than the sum of its proper divisors (1532399040).

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

616806720 is a wasteful number, since it uses less digits than its factorization.

616806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 616806720 is about 24835.5938121077. The cubic root of 616806720 is about 851.2354445168.

The spelling of 616806720 in words is "six hundred sixteen million, eight hundred six thousand, seven hundred twenty".