613314072 has 256 divisors, whose sum is σ = 2108544000. Its totient is φ = 161243136.

The previous prime is 613314071. The next prime is 613314089. The reversal of 613314072 is 270413316.

613314072 is a `hidden beast` number, since 613 + 3 + 1 + 40 + 7 + 2 = 666.

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 (613314071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1062648 + ... + 1063224.

It is an arithmetic number, because the mean of its divisors is an integer number (8236500).

Almost surely, 2^613314072 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 613314072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054272000).

613314072 is an abundant number, since it is smaller than the sum of its proper divisors (1495229928).

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

613314072 is a wasteful number, since it uses less digits than its factorization.

613314072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 613314072 is about 24765.1786183746. The cubic root of 613314072 is about 849.6257046390.

Adding to 613314072 its reverse (270413316), we get a palindrome (883727388).

It can be divided in two parts, 61 and 3314072, that added together give a palindrome (3314133).

The spelling of 613314072 in words is "six hundred thirteen million, three hundred fourteen thousand, seventy-two".