616282992 has 240 divisors, whose sum is σ = 1962061920. Its totient is φ = 186126336.

The previous prime is 616282991. The next prime is 616283011. The reversal of 616282992 is 299282616.

616282992 is a `hidden beast` number, since 616 + 2 + 8 + 29 + 9 + 2 = 666.

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 (616282991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4498348 + ... + 4498484.

It is an arithmetic number, because the mean of its divisors is an integer number (8175258).

Almost surely, 2^616282992 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 616282992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981030960).

616282992 is an abundant number, since it is smaller than the sum of its proper divisors (1345778928).

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

616282992 is a wasteful number, since it uses less digits than its factorization.

616282992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 244 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 616282992 is about 24825.0476736702. The cubic root of 616282992 is about 850.9944494790.

It can be divided in two parts, 61628 and 2992, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 616282992 in words is "six hundred sixteen million, two hundred eighty-two thousand, nine hundred ninety-two".