613200560 has 80 divisors (see below), whose sum is σ = 1640520000. Its totient is φ = 208800768.

The previous prime is 613200559. The next prime is 613200569. The reversal of 613200560 is 65002316.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (613200569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79766 + ... + 87114.

It is an arithmetic number, because the mean of its divisors is an integer number (20506500).

Almost surely, 2^613200560 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 613200560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820260000).

613200560 is an abundant number, since it is smaller than the sum of its proper divisors (1027319440).

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

613200560 is a wasteful number, since it uses less digits than its factorization.

613200560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7518 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 613200560 is about 24762.8867460965. The cubic root of 613200560 is about 849.5732852409.

Adding to 613200560 its reverse (65002316), we get a palindrome (678202876).

The spelling of 613200560 in words is "six hundred thirteen million, two hundred thousand, five hundred sixty".