613188864 has 108 divisors (see below), whose sum is σ = 1816010196. Its totient is φ = 198844416.

The previous prime is 613188817. The next prime is 613188937. The reversal of 613188864 is 468881316.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 282240000 + 330948864 = 16800^2 + 18192^2 .

It is a super-2 number, since 2×613188864² = 752001165867220992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81652 + ... + 88844.

Almost surely, 2^613188864 is an apocalyptic number.

613188864 is a gapful number since it is divisible by the number (64) 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 613188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908005098).

613188864 is an abundant number, since it is smaller than the sum of its proper divisors (1202821332).

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

613188864 is a wasteful number, since it uses less digits than its factorization.

613188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7252 (or 7235 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 613188864 is about 24762.6505851050. The cubic root of 613188864 is about 849.5678837062.

The spelling of 613188864 in words is "six hundred thirteen million, one hundred eighty-eight thousand, eight hundred sixty-four".