613153960 has 192 divisors, whose sum is σ = 1591488000. Its totient is φ = 212029440.

The previous prime is 613153949. The next prime is 613153969. The reversal of 613153960 is 69351316.

613153960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (613153969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10392411 + ... + 10392469.

It is an arithmetic number, because the mean of its divisors is an integer number (8289000).

Almost surely, 2^613153960 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 613153960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795744000).

613153960 is an abundant number, since it is smaller than the sum of its proper divisors (978334040).

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

613153960 is a wasteful number, since it uses less digits than its factorization.

613153960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 613153960 is about 24761.9458039953. The cubic root of 613153960 is about 849.5517636700.

The spelling of 613153960 in words is "six hundred thirteen million, one hundred fifty-three thousand, nine hundred sixty".