613088 has 72 divisors (see below), whose sum is σ = 1551312. Its totient is φ = 236544.

The previous prime is 613061. The next prime is 613097. The reversal of 613088 is 880316.

It is a Cunningham number, because it is equal to 783²-1.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

613088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26645 + ... + 26667.

It is an arithmetic number, because the mean of its divisors is an integer number (21546).

2⁶¹³⁰⁸⁸ is an apocalyptic number.

613088 is a gapful number since it is divisible by the number (68) 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 613088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775656).

613088 is an abundant number, since it is smaller than the sum of its proper divisors (938224).

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

613088 is a wasteful number, since it uses less digits than its factorization.

613088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 613088 is about 782.9993614301. Note that the first 3 decimals coincide. The cubic root of 613088 is about 84.9521299084.

It can be divided in two parts, 61308 and 8, that added together give a palindrome (61316).

The spelling of 613088 in words is "six hundred thirteen thousand, eighty-eight".