610304 has 26 divisors (see below), whose sum is σ = 1228650. Its totient is φ = 303104.

The previous prime is 610301. The next prime is 610327. The reversal of 610304 is 403016.

It can be written as a sum of positive squares in only one way, i.e., 409600 + 200704 = 640^2 + 448^2 .

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4022 + ... + 4170.

2⁶¹⁰³⁰⁴ is an apocalyptic number.

610304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614325).

610304 is an abundant number, since it is smaller than the sum of its proper divisors (618346).

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

610304 is an equidigital number, since it uses as much as digits as its factorization.

610304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 610304 is about 781.2195594070. The cubic root of 610304 is about 84.8233470781.

The spelling of 610304 in words is "six hundred ten thousand, three hundred four".