67824 has 40 divisors (see below), whose sum is σ = 195920. Its totient is φ = 22464.

The previous prime is 67819. The next prime is 67829. The reversal of 67824 is 42876.

It is an interprime number because it is at equal distance from previous prime (67819) and next prime (67829).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67829) by changing a digit.

67824 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 7 ways as a sum of consecutive naturals, for example, 354 + ... + 510.

It is an arithmetic number, because the mean of its divisors is an integer number (4898).

2⁶⁷⁸²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97960).

67824 is an abundant number, since it is smaller than the sum of its proper divisors (128096).

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

67824 is a wasteful number, since it uses less digits than its factorization.

67824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 67824 is about 260.4304129705. The cubic root of 67824 is about 40.7813063152.

It can be divided in two parts, 6782 and 4, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 67824 in words is "sixty-seven thousand, eight hundred twenty-four".