613338240 has 512 divisors, whose sum is σ = 2326579200. Its totient is φ = 136249344.

The previous prime is 613338227. The next prime is 613338247. The reversal of 613338240 is 42833316.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 613338198 and 613338207.

It is not an unprimeable number, because it can be changed into a prime (613338247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14263659 + ... + 14263701.

It is an arithmetic number, because the mean of its divisors is an integer number (4544100).

Almost surely, 2^613338240 is an apocalyptic number.

613338240 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 613338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163289600).

613338240 is an abundant number, since it is smaller than the sum of its proper divisors (1713240960).

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

613338240 is a wasteful number, since it uses less digits than its factorization.

613338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 613338240 is about 24765.6665567475. Note that the first 3 decimals coincide. The cubic root of 613338240 is about 849.6368644918.

The spelling of 613338240 in words is "six hundred thirteen million, three hundred thirty-eight thousand, two hundred forty".