616387968 has 384 divisors, whose sum is σ = 2227680000. Its totient is φ = 165722112.

The previous prime is 616387957. The next prime is 616387969. The reversal of 616387968 is 869783616.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616387969) 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 47 ways as a sum of consecutive naturals, for example, 4136758 + ... + 4136906.

It is an arithmetic number, because the mean of its divisors is an integer number (5801250).

Almost surely, 2^616387968 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 616387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113840000).

616387968 is an abundant number, since it is smaller than the sum of its proper divisors (1611292032).

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

616387968 is a wasteful number, since it uses less digits than its factorization.

616387968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 616387968 is about 24827.1618998225. The cubic root of 616387968 is about 851.0427654435.

The spelling of 616387968 in words is "six hundred sixteen million, three hundred eighty-seven thousand, nine hundred sixty-eight".