616720320 has 168 divisors, whose sum is σ = 2133990144. Its totient is φ = 163473408.

The previous prime is 616720301. The next prime is 616720337. The reversal of 616720320 is 23027616.

It is a happy number.

616720320 is a `hidden beast` number, since 616 + 7 + 20 + 3 + 20 = 666.

It is a super-3 number, since 3×616720320³ (a number of 27 digits) contains 333 as substring.

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, 566817 + ... + 567903.

Almost surely, 2^616720320 is an apocalyptic number.

616720320 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 616720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066995072).

616720320 is an abundant number, since it is smaller than the sum of its proper divisors (1517269824).

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

616720320 is a wasteful number, since it uses less digits than its factorization.

616720320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 616720320 is about 24833.8543122086. The cubic root of 616720320 is about 851.1956966918.

Adding to 616720320 its reverse (23027616), we get a palindrome (639747936).

The spelling of 616720320 in words is "six hundred sixteen million, seven hundred twenty thousand, three hundred twenty".