616561344 has 168 divisors, whose sum is σ = 2089769760. Its totient is φ = 170053632.

The previous prime is 616561339. The next prime is 616561357. The reversal of 616561344 is 443165616.

It is a happy number.

616561344 is a `hidden beast` number, since 61 + 6 + 561 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 616561299 and 616561308.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 114292 + ... + 119564.

Almost surely, 2^616561344 is an apocalyptic number.

616561344 is a gapful number since it is divisible by the number (64) 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 616561344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044884880).

616561344 is an abundant number, since it is smaller than the sum of its proper divisors (1473208416).

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

616561344 is a wasteful number, since it uses less digits than its factorization.

616561344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327 (or 5314 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 616561344 is about 24830.6533139988. The cubic root of 616561344 is about 851.1225509931.

The spelling of 616561344 in words is "six hundred sixteen million, five hundred sixty-one thousand, three hundred forty-four".