616198320 has 320 divisors, whose sum is σ = 2283603840. Its totient is φ = 152174592.

The previous prime is 616198309. The next prime is 616198321. The reversal of 616198320 is 23891616.

616198320 is a `hidden beast` number, since 6 + 1 + 619 + 8 + 32 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (616198321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3561754 + ... + 3561926.

It is an arithmetic number, because the mean of its divisors is an integer number (7136262).

Almost surely, 2^616198320 is an apocalyptic number.

616198320 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 616198320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141801920).

616198320 is an abundant number, since it is smaller than the sum of its proper divisors (1667405520).

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

616198320 is a wasteful number, since it uses less digits than its factorization.

616198320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 616198320 is about 24823.3422407217. The cubic root of 616198320 is about 850.9554745799.

The spelling of 616198320 in words is "six hundred sixteen million, one hundred ninety-eight thousand, three hundred twenty".