613344 has 24 divisors (see below), whose sum is σ = 1610280. Its totient is φ = 204416.

The previous prime is 613337. The next prime is 613357. The reversal of 613344 is 443316.

613344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 613344.

It is a congruent number.

It is an unprimeable number.

613344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3099 + ... + 3290.

It is an arithmetic number, because the mean of its divisors is an integer number (67095).

2⁶¹³³⁴⁴ is an apocalyptic number.

It is an amenable number.

613344 is an abundant number, since it is smaller than the sum of its proper divisors (996936).

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

613344 is a wasteful number, since it uses less digits than its factorization.

613344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402 (or 6394 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 613344 is about 783.1628183207. The cubic root of 613344 is about 84.9639524195.

The spelling of 613344 in words is "six hundred thirteen thousand, three hundred forty-four".