616309344 has 192 divisors, whose sum is σ = 2069383680. Its totient is φ = 174804480.

The previous prime is 616309319. The next prime is 616309367. The reversal of 616309344 is 443903616.

616309344 is a `hidden beast` number, since 6 + 1 + 6 + 309 + 344 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 616309299 and 616309308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1094407 + ... + 1094969.

It is an arithmetic number, because the mean of its divisors is an integer number (10778040).

Almost surely, 2^616309344 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 616309344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034691840).

616309344 is an abundant number, since it is smaller than the sum of its proper divisors (1453074336).

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

616309344 is a wasteful number, since it uses less digits than its factorization.

616309344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 616309344 is about 24825.5784222644. The cubic root of 616309344 is about 851.0065786936.

The spelling of 616309344 in words is "six hundred sixteen million, three hundred nine thousand, three hundred forty-four".