610442320 has 80 divisors (see below), whose sum is σ = 1451603520. Its totient is φ = 238666752.

The previous prime is 610442263. The next prime is 610442377. The reversal of 610442320 is 23244016.

It is a happy number.

610442320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (610442263) and next prime (610442377).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 610442291 and 610442300.

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 15 ways as a sum of consecutive naturals, for example, 1335532 + ... + 1335988.

It is an arithmetic number, because the mean of its divisors is an integer number (18145044).

Almost surely, 2^610442320 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 610442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725801760).

610442320 is an abundant number, since it is smaller than the sum of its proper divisors (841161200).

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

610442320 is a wasteful number, since it uses less digits than its factorization.

610442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 610442320 is about 24707.1309544431. The cubic root of 610442320 is about 848.2975474766.

Adding to 610442320 its reverse (23244016), we get a palindrome (633686336).

The spelling of 610442320 in words is "six hundred ten million, four hundred forty-two thousand, three hundred twenty".