613888 has 40 divisors (see below), whose sum is σ = 1350360. Its totient is φ = 276480.

The previous prime is 613883. The next prime is 613889. The reversal of 613888 is 888316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5578 + ... + 5686.

It is an arithmetic number, because the mean of its divisors is an integer number (33759).

2⁶¹³⁸⁸⁸ 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 613888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675180).

613888 is an abundant number, since it is smaller than the sum of its proper divisors (736472).

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

613888 is a wasteful number, since it uses less digits than its factorization.

613888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 122 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The square root of 613888 is about 783.5100509885. The cubic root of 613888 is about 84.9890643371.

It can be divided in two parts, 6138 and 88, that added together give a palindrome (6226).

The spelling of 613888 in words is "six hundred thirteen thousand, eight hundred eighty-eight".