613896320 has 64 divisors (see below), whose sum is σ = 1470709440. Its totient is φ = 245038080.

The previous prime is 613896313. The next prime is 613896323. The reversal of 613896320 is 23698316.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (613896323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474875 + ... + 476165.

It is an arithmetic number, because the mean of its divisors is an integer number (22979835).

Almost surely, 2^613896320 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 613896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735354720).

613896320 is an abundant number, since it is smaller than the sum of its proper divisors (856813120).

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

613896320 is a wasteful number, since it uses less digits than its factorization.

613896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 613896320 is about 24776.9312062652. The cubic root of 613896320 is about 849.8944828650.

The spelling of 613896320 in words is "six hundred thirteen million, eight hundred ninety-six thousand, three hundred twenty".