675120 has 80 divisors (see below), whose sum is σ = 2187360. Its totient is φ = 172032.

The previous prime is 675113. The next prime is 675131. The reversal of 675120 is 21576.

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

It is a congruent number.

It is an unprimeable number.

675120 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 15 ways as a sum of consecutive naturals, for example, 6912 + ... + 7008.

It is an arithmetic number, because the mean of its divisors is an integer number (27342).

2⁶⁷⁵¹²⁰ is an apocalyptic number.

675120 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 675120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093680).

675120 is an abundant number, since it is smaller than the sum of its proper divisors (1512240).

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

675120 is a wasteful number, since it uses less digits than its factorization.

675120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 675120 is about 821.6568626866. The cubic root of 675120 is about 87.7257300921.

Adding to 675120 its reverse (21576), we get a palindrome (696696).

The spelling of 675120 in words is "six hundred seventy-five thousand, one hundred twenty".