610912 has 24 divisors (see below), whose sum is σ = 1274616. Its totient is φ = 287232.

The previous prime is 610891. The next prime is 610913. The reversal of 610912 is 219016.

It is a self number, because there is not a number n which added to its sum of digits gives 610912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18 + ... + 1105.

It is an arithmetic number, because the mean of its divisors is an integer number (53109).

2⁶¹⁰⁹¹² 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 610912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637308).

610912 is an abundant number, since it is smaller than the sum of its proper divisors (663704).

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

610912 is a wasteful number, since it uses less digits than its factorization.

610912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 610912 is about 781.6085977009. The cubic root of 610912 is about 84.8515054377.

Adding to 610912 its reverse (219016), we get a palindrome (829928).

The spelling of 610912 in words is "six hundred ten thousand, nine hundred twelve".