613536768 has 220 divisors, whose sum is σ = 1976542260. Its totient is φ = 188448768.

The previous prime is 613536767. The next prime is 613536787. The reversal of 613536768 is 867635316.

It can be written as a sum of positive squares in 2 ways, for example, as 95883264 + 517653504 = 9792^2 + 22752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613536767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1077988 + ... + 1078556.

It is an arithmetic number, because the mean of its divisors is an integer number (8984283).

Almost surely, 2^613536768 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 613536768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988271130).

613536768 is an abundant number, since it is smaller than the sum of its proper divisors (1363005492).

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

613536768 is a wasteful number, since it uses less digits than its factorization.

613536768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 587 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 613536768 is about 24769.6743620097. The cubic root of 613536768 is about 849.7285259930.

It can be divided in two parts, 61353 and 6768, that added together give a square (68121 = 261²).

The spelling of 613536768 in words is "six hundred thirteen million, five hundred thirty-six thousand, seven hundred sixty-eight".