67360 has 24 divisors (see below), whose sum is σ = 159516. Its totient is φ = 26880.

The previous prime is 67349. The next prime is 67369. The reversal of 67360 is 6376.

67360 = T₁₀ + T₁₁ + ... + T₇₃.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 55696 + 11664 = 236^2 + 108^2 .

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (67369) by changing a digit.

67360 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51 + ... + 370.

2⁶⁷³⁶⁰ is an apocalyptic number.

It is an amenable number.

67360 is an abundant number, since it is smaller than the sum of its proper divisors (92156).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79758).

67360 is a wasteful number, since it uses less digits than its factorization.

67360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 67360 is about 259.5380511601. The cubic root of 67360 is about 40.6880952491.

The spelling of 67360 in words is "sixty-seven thousand, three hundred sixty".