613556064 has 144 divisors (see below), whose sum is σ = 1912803984. Its totient is φ = 185011200.

The previous prime is 613556057. The next prime is 613556077. The reversal of 613556064 is 460655316.

613556064 is a `hidden beast` number, since 6 + 1 + 35 + 560 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 927894 + ... + 928554.

It is an arithmetic number, because the mean of its divisors is an integer number (13283361).

Almost surely, 2^613556064 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 613556064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956401992).

613556064 is an abundant number, since it is smaller than the sum of its proper divisors (1299247920).

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

613556064 is a wasteful number, since it uses less digits than its factorization.

613556064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 613556064 is about 24770.0638674994. The cubic root of 613556064 is about 849.7374340110.

The spelling of 613556064 in words is "six hundred thirteen million, five hundred fifty-six thousand, sixty-four".