613120 has 36 divisors (see below), whose sum is σ = 1471680. Its totient is φ = 244736.

The previous prime is 613099. The next prime is 613141. The reversal of 613120 is 21316.

It is an interprime number because it is at equal distance from previous prime (613099) and next prime (613141).

It is a super-2 number, since 2×613120² = 751832268800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 613120.

It is an unprimeable number.

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, 1041 + ... + 1519.

It is an arithmetic number, because the mean of its divisors is an integer number (40880).

2⁶¹³¹²⁰ 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 613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735840).

613120 is an abundant number, since it is smaller than the sum of its proper divisors (858560).

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

613120 is an equidigital number, since it uses as much as digits as its factorization.

613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 613120 is about 783.0197954075. The cubic root of 613120 is about 84.9536079023.

Adding to 613120 its reverse (21316), we get a palindrome (634436).

The spelling of 613120 in words is "six hundred thirteen thousand, one hundred twenty".