67364 has 12 divisors (see below), whose sum is σ = 128688. Its totient is φ = 30600.

The previous prime is 67349. The next prime is 67369. The reversal of 67364 is 46376.

67364 = T₆₇ + T₆₈ + ... + T₈₈.

It is a plaindrome in base 9.

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

67364 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 3 ways as a sum of consecutive naturals, for example, 722 + ... + 809.

It is an arithmetic number, because the mean of its divisors is an integer number (10724).

2⁶⁷³⁶⁴ is an apocalyptic number.

It is an amenable number.

67364 is a deficient number, since it is larger than the sum of its proper divisors (61324).

67364 is a wasteful number, since it uses less digits than its factorization.

67364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1544 counting only the distinct ones).

The product of its digits is 3024, while the sum is 26.

The square root of 67364 is about 259.5457570449. The cubic root of 67364 is about 40.6889006190.

It can be divided in two parts, 673 and 64, that added together give a palindrome (737).

The spelling of 67364 in words is "sixty-seven thousand, three hundred sixty-four".