613946088 has 384 divisors, whose sum is σ = 2166912000. Its totient is φ = 160030080.

The previous prime is 613946071. The next prime is 613946089. The reversal of 613946088 is 880649316.

613946088 is a `hidden beast` number, since 6 + 1 + 39 + 4 + 608 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613946089) 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 95 ways as a sum of consecutive naturals, for example, 8647093 + ... + 8647163.

It is an arithmetic number, because the mean of its divisors is an integer number (5643000).

Almost surely, 2^613946088 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 613946088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083456000).

613946088 is an abundant number, since it is smaller than the sum of its proper divisors (1552965912).

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

613946088 is a wasteful number, since it uses less digits than its factorization.

613946088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 613946088 is about 24777.9355072209. The cubic root of 613946088 is about 849.9174489611.

The spelling of 613946088 in words is "six hundred thirteen million, nine hundred forty-six thousand, eighty-eight".