613012320 has 192 divisors, whose sum is σ = 2198508480. Its totient is φ = 159436800.

The previous prime is 613012303. The next prime is 613012327. The reversal of 613012320 is 23210316.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 613012293 and 613012302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613012327) 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, 175390 + ... + 178850.

It is an arithmetic number, because the mean of its divisors is an integer number (11450565).

Almost surely, 2^613012320 is an apocalyptic number.

613012320 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 613012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099254240).

613012320 is an abundant number, since it is smaller than the sum of its proper divisors (1585496160).

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

613012320 is a wasteful number, since it uses less digits than its factorization.

613012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3526 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 613012320 is about 24759.0856050865. The cubic root of 613012320 is about 849.4863424836.

Adding to 613012320 its reverse (23210316), we get a palindrome (636222636).

The spelling of 613012320 in words is "six hundred thirteen million, twelve thousand, three hundred twenty".