613830 has 64 divisors (see below), whose sum is σ = 1751040. Its totient is φ = 134784.

The previous prime is 613829. The next prime is 613841. The reversal of 613830 is 38316.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 613797 and 613806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7731 + ... + 7809.

It is an arithmetic number, because the mean of its divisors is an integer number (27360).

2⁶¹³⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875520).

613830 is an abundant number, since it is smaller than the sum of its proper divisors (1137210).

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

613830 is a wasteful number, since it uses less digits than its factorization.

613830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 613830 is about 783.4730371876. The cubic root of 613830 is about 84.9863876702.

The spelling of 613830 in words is "six hundred thirteen thousand, eight hundred thirty".