609312 has 48 divisors (see below), whose sum is σ = 1747872. Its totient is φ = 184320.

The previous prime is 609307. The next prime is 609313. The reversal of 609312 is 213906.

609312 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×609312² = 742522226688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (609313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 768 + ... + 1344.

It is an arithmetic number, because the mean of its divisors is an integer number (36414).

2⁶⁰⁹³¹² 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 609312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873936).

609312 is an abundant number, since it is smaller than the sum of its proper divisors (1138560).

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

609312 is a wasteful number, since it uses less digits than its factorization.

609312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 609312 is about 780.5843964620. The cubic root of 609312 is about 84.7773643156. Note that the first 3 decimals are identical.

It can be divided in two parts, 6093 and 12, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 609312 in words is "six hundred nine thousand, three hundred twelve".