613536560 has 160 divisors (see below), whose sum is σ = 1781885952. Its totient is φ = 191278080.

The previous prime is 613536529. The next prime is 613536563. The reversal of 613536560 is 65635316.

It is a super-2 number, since 2×613536560² = 752854220913267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 613536560.

It is not an unprimeable number, because it can be changed into a prime (613536563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516287 + ... + 517473.

Almost surely, 2^613536560 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 613536560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890942976).

613536560 is an abundant number, since it is smaller than the sum of its proper divisors (1168349392).

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

613536560 is a wasteful number, since it uses less digits than its factorization.

613536560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

The square root of 613536560 is about 24769.6701633268. The cubic root of 613536560 is about 849.7284299685.

The spelling of 613536560 in words is "six hundred thirteen million, five hundred thirty-six thousand, five hundred sixty".