613128 has 32 divisors (see below), whose sum is σ = 1562400. Its totient is φ = 200448.

The previous prime is 613099. The next prime is 613141. The reversal of 613128 is 821316.

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

It is an unprimeable number.

613128 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 7 ways as a sum of consecutive naturals, for example, 1200 + ... + 1632.

It is an arithmetic number, because the mean of its divisors is an integer number (48825).

2⁶¹³¹²⁸ 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 613128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781200).

613128 is an abundant number, since it is smaller than the sum of its proper divisors (949272).

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

613128 is a wasteful number, since it uses less digits than its factorization.

613128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 497 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 613128 is about 783.0249038185. The cubic root of 613128 is about 84.9539773927.

It can be divided in two parts, 613 and 128, that added together give a triangular number (741 = T₃₈).

The spelling of 613128 in words is "six hundred thirteen thousand, one hundred twenty-eight".