613866816 has 112 divisors (see below), whose sum is σ = 1822704000. Its totient is φ = 202576896.

The previous prime is 613866779. The next prime is 613866817. The reversal of 613866816 is 618668316.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (613866817) 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 15 ways as a sum of consecutive naturals, for example, 176260 + ... + 179708.

Almost surely, 2^613866816 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 613866816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911352000).

613866816 is an abundant number, since it is smaller than the sum of its proper divisors (1208837184).

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

613866816 is a wasteful number, since it uses less digits than its factorization.

613866816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573 (or 3557 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 613866816 is about 24776.3358065716. The cubic root of 613866816 is about 849.8808672713.

The spelling of 613866816 in words is "six hundred thirteen million, eight hundred sixty-six thousand, eight hundred sixteen".