675360 has 144 divisors (see below), whose sum is σ = 2673216. Its totient is φ = 152064.

The previous prime is 675347. The next prime is 675391. The reversal of 675360 is 63576.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×675360² = 912222259200, which contains 22 as substring.

It is an unprimeable number.

675360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 23 ways as a sum of consecutive naturals, for example, 10047 + ... + 10113.

It is an arithmetic number, because the mean of its divisors is an integer number (18564).

2⁶⁷⁵³⁶⁰ is an apocalyptic number.

675360 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 675360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336608).

675360 is an abundant number, since it is smaller than the sum of its proper divisors (1997856).

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

675360 is a wasteful number, since it uses less digits than its factorization.

675360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 675360 is about 821.8028960767. The cubic root of 675360 is about 87.7361241361.

It can be divided in two parts, 675 and 360, that added together give a triangular number (1035 = T₄₅).

The spelling of 675360 in words is "six hundred seventy-five thousand, three hundred sixty".