616720896 has 240 divisors, whose sum is σ = 2029959360. Its totient is φ = 178759680.

The previous prime is 616720889. The next prime is 616720901. The reversal of 616720896 is 698027616.

616720896 is a `hidden beast` number, since 616 + 7 + 20 + 8 + 9 + 6 = 666.

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, 26813941 + ... + 26813963.

It is an arithmetic number, because the mean of its divisors is an integer number (8458164).

Almost surely, 2^616720896 is an apocalyptic number.

616720896 is a gapful number since it is divisible by the number (66) 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 616720896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014979680).

616720896 is an abundant number, since it is smaller than the sum of its proper divisors (1413238464).

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

616720896 is an equidigital number, since it uses as much as digits as its factorization.

616720896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 616720896 is about 24833.8659092780. The cubic root of 616720896 is about 851.1959616896.

The spelling of 616720896 in words is "six hundred sixteen million, seven hundred twenty thousand, eight hundred ninety-six".