609120 has 120 divisors (see below), whose sum is σ = 2195424. Its totient is φ = 158976.

The previous prime is 609113. The next prime is 609143. The reversal of 609120 is 21906.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 609093 and 609102.

It is a congruent number.

It is an unprimeable number.

609120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12937 + ... + 12983.

2⁶⁰⁹¹²⁰ is an apocalyptic number.

609120 is a gapful number since it is divisible by the number (60) 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 609120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097712).

609120 is an abundant number, since it is smaller than the sum of its proper divisors (1586304).

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

609120 is a wasteful number, since it uses less digits than its factorization.

609120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 609120 is about 780.4614019924. The cubic root of 609120 is about 84.7684586624.

It can be divided in two parts, 609 and 120, that added together give a 6-th power (729 = 3⁶).

The spelling of 609120 in words is "six hundred nine thousand, one hundred twenty".