613974816 has 480 divisors, whose sum is σ = 2356421760. Its totient is φ = 152285184.

The previous prime is 613974787. The next prime is 613974817. The reversal of 613974816 is 618479316.

It is a happy number.

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 (613974817) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4481500 + ... + 4481636.

It is an arithmetic number, because the mean of its divisors is an integer number (4909212).

Almost surely, 2^613974816 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 613974816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178210880).

613974816 is an abundant number, since it is smaller than the sum of its proper divisors (1742446944).

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

613974816 is a wasteful number, since it uses less digits than its factorization.

613974816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 613974816 is about 24778.5152097538. The cubic root of 613974816 is about 849.9307053084.

The spelling of 613974816 in words is "six hundred thirteen million, nine hundred seventy-four thousand, eight hundred sixteen".