613128960 has 288 divisors, whose sum is σ = 2208991680. Its totient is φ = 161021952.

The previous prime is 613128937. The next prime is 613128973. The reversal of 613128960 is 69821316.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3905202 + ... + 3905358.

It is an arithmetic number, because the mean of its divisors is an integer number (7670110).

Almost surely, 2^613128960 is an apocalyptic number.

613128960 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 613128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104495840).

613128960 is an abundant number, since it is smaller than the sum of its proper divisors (1595862720).

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

613128960 is a wasteful number, since it uses less digits than its factorization.

613128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 613128960 is about 24761.4409919940. The cubic root of 613128960 is about 849.5402173134.

The spelling of 613128960 in words is "six hundred thirteen million, one hundred twenty-eight thousand, nine hundred sixty".