616687344 has 420 divisors, whose sum is σ = 2271245256. Its totient is φ = 160683264.

The previous prime is 616687343. The next prime is 616687361. The reversal of 616687344 is 443786616.

It is a happy number.

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

Its product of digits (580608) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 616687344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616687343) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7429927 + ... + 7430009.

Almost surely, 2^616687344 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 616687344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135622628).

616687344 is an abundant number, since it is smaller than the sum of its proper divisors (1654557912).

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

616687344 is a wasteful number, since it uses less digits than its factorization.

616687344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 616687344 is about 24833.1903709531. The cubic root of 616687344 is about 851.1805252931.

The spelling of 616687344 in words is "six hundred sixteen million, six hundred eighty-seven thousand, three hundred forty-four".