613085760 has 560 divisors, whose sum is σ = 2596408320. Its totient is φ = 134369280.

The previous prime is 613085717. The next prime is 613085777. The reversal of 613085760 is 67580316.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×613085760² = 751748298229555200, which contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 5624586 + ... + 5624694.

Almost surely, 2^613085760 is an apocalyptic number.

613085760 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 613085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298204160).

613085760 is an abundant number, since it is smaller than the sum of its proper divisors (1983322560).

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

613085760 is a wasteful number, since it uses less digits than its factorization.

613085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 613085760 is about 24760.5686525976. The cubic root of 613085760 is about 849.5202644695.

The spelling of 613085760 in words is "six hundred thirteen million, eighty-five thousand, seven hundred sixty".