610344 has 72 divisors (see below), whose sum is σ = 1934010. Its totient is φ = 173376.

The previous prime is 610339. The next prime is 610391. The reversal of 610344 is 443016.

It can be written as a sum of positive squares in only one way, i.e., 396900 + 213444 = 630^2 + 462^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

610344 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 17 ways as a sum of consecutive naturals, for example, 3442 + ... + 3614.

2⁶¹⁰³⁴⁴ 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 610344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967005).

610344 is an abundant number, since it is smaller than the sum of its proper divisors (1323666).

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

610344 is a wasteful number, since it uses less digits than its factorization.

610344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 610344 is about 781.2451599850. The cubic root of 610344 is about 84.8252001763.

The spelling of 610344 in words is "six hundred ten thousand, three hundred forty-four".