609504 has 48 divisors (see below), whose sum is σ = 1830528. Its totient is φ = 173952.

The previous prime is 609503. The next prime is 609509. The reversal of 609504 is 405906.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 609504.

It is not an unprimeable number, because it can be changed into a prime (609503) 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, 219 + ... + 1125.

It is an arithmetic number, because the mean of its divisors is an integer number (38136).

2⁶⁰⁹⁵⁰⁴ 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 609504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915264).

609504 is an abundant number, since it is smaller than the sum of its proper divisors (1221024).

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

609504 is a wasteful number, since it uses less digits than its factorization.

609504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 609504 is about 780.7073715548. The cubic root of 609504 is about 84.7862680981.

It can be divided in two parts, 609 and 504, that multiplied together give a triangular number (306936 = T₇₈₃).

The spelling of 609504 in words is "six hundred nine thousand, five hundred four".