613398240 has 576 divisors, whose sum is σ = 2676989952. Its totient is φ = 124416000.

The previous prime is 613398229. The next prime is 613398251. The reversal of 613398240 is 42893316.

613398240 is a `hidden beast` number, since 613 + 39 + 8 + 2 + 4 + 0 = 666.

613398240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (613398229) and next prime (613398251).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 613398195 and 613398204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4062165 + ... + 4062315.

It is an arithmetic number, because the mean of its divisors is an integer number (4647552).

Almost surely, 2^613398240 is an apocalyptic number.

613398240 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 613398240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338494976).

613398240 is an abundant number, since it is smaller than the sum of its proper divisors (2063591712).

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

613398240 is a wasteful number, since it uses less digits than its factorization.

613398240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 613398240 is about 24766.8778815579. The cubic root of 613398240 is about 849.6645689167.

The spelling of 613398240 in words is "six hundred thirteen million, three hundred ninety-eight thousand, two hundred forty".