613336320 has 144 divisors (see below), whose sum is σ = 2176614720. Its totient is φ = 163547136.

The previous prime is 613336313. The next prime is 613336327. The reversal of 613336320 is 23633316.

613336320 is a `hidden beast` number, since 6 + 1 + 3 + 336 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (613336313) and next prime (613336327).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×613336320² = 752362882862284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613336327) 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, 25687 + ... + 43433.

It is an arithmetic number, because the mean of its divisors is an integer number (15115380).

Almost surely, 2^613336320 is an apocalyptic number.

613336320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088307360).

613336320 is an abundant number, since it is smaller than the sum of its proper divisors (1563278400).

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

613336320 is a wasteful number, since it uses less digits than its factorization.

613336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17777 (or 17757 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 613336320 is about 24765.6277933752. The cubic root of 613336320 is about 849.6359779204.

Adding to 613336320 its reverse (23633316), we get a palindrome (636969636).

The spelling of 613336320 in words is "six hundred thirteen million, three hundred thirty-six thousand, three hundred twenty".