613116 has 48 divisors (see below), whose sum is σ = 1818880. Its totient is φ = 174960.

The previous prime is 613099. The next prime is 613141. The reversal of 613116 is 611316.

It is a super-2 number, since 2×613116² = 751822458912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

613116 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 15 ways as a sum of consecutive naturals, for example, 351 + ... + 1161.

2⁶¹³¹¹⁶ 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 613116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909440).

613116 is an abundant number, since it is smaller than the sum of its proper divisors (1205764).

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

613116 is a wasteful number, since it uses less digits than its factorization.

613116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 823 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 613116 is about 783.0172411895. The cubic root of 613116 is about 84.9534231559.

It can be divided in two parts, 613 and 116, that added together give a 6-th power (729 = 3⁶).

The spelling of 613116 in words is "six hundred thirteen thousand, one hundred sixteen".