613360 has 80 divisors (see below), whose sum is σ = 1687392. Its totient is φ = 204800.

The previous prime is 613357. The next prime is 613363. The reversal of 613360 is 63316.

613360 = T₇₉ + T₈₀ + ... + T₁₆₀.

613360 = 120² + 121² + ... + 152².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (613357) and next prime (613363).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14940 + ... + 14980.

2⁶¹³³⁶⁰ 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 613360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843696).

613360 is an abundant number, since it is smaller than the sum of its proper divisors (1074032).

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

613360 is a wasteful number, since it uses less digits than its factorization.

613360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 613360 is about 783.1730332436. The cubic root of 613360 is about 84.9646912172.

Adding to 613360 its reverse (63316), we get a palindrome (676676).

It can be divided in two parts, 6 and 13360, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 613360 in words is "six hundred thirteen thousand, three hundred sixty".