613368 has 48 divisors (see below), whose sum is σ = 1900080. Its totient is φ = 175104.

The previous prime is 613367. The next prime is 613381. The reversal of 613368 is 863316.

It is a nude number because it is divisible by every one of its digits.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105 + ... + 1112.

It is an arithmetic number, because the mean of its divisors is an integer number (39585).

2⁶¹³³⁶⁸ 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 613368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950040).

613368 is an abundant number, since it is smaller than the sum of its proper divisors (1286712).

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

613368 is a wasteful number, since it uses less digits than its factorization.

613368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1229 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 613368 is about 783.1781406551. The cubic root of 613368 is about 84.9650606112.

It can be divided in two parts, 6 and 13368, that multiplied together give a palindrome (80208).

The spelling of 613368 in words is "six hundred thirteen thousand, three hundred sixty-eight".