613309968 has 100 divisors (see below), whose sum is σ = 1868598160. Its totient is φ = 193669056.

The previous prime is 613309967. The next prime is 613309997. The reversal of 613309968 is 869903316.

It is a super-2 number, since 2×613309968² = 752298233696322048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (613309967) 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, 12171 + ... + 37077.

Almost surely, 2^613309968 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 613309968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934299080).

613309968 is an abundant number, since it is smaller than the sum of its proper divisors (1255288192).

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

613309968 is a wasteful number, since it uses less digits than its factorization.

613309968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24946 (or 24931 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 613309968 is about 24765.0957599602. The cubic root of 613309968 is about 849.6238095405.

The spelling of 613309968 in words is "six hundred thirteen million, three hundred nine thousand, nine hundred sixty-eight".