67840 has 36 divisors (see below), whose sum is σ = 165564. Its totient is φ = 26624.

The previous prime is 67829. The next prime is 67843. The reversal of 67840 is 4876.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 30976 = 192^2 + 176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1254 + ... + 1306.

It is an arithmetic number, because the mean of its divisors is an integer number (4599).

2⁶⁷⁸⁴⁰ 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 67840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82782).

67840 is an abundant number, since it is smaller than the sum of its proper divisors (97724).

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

67840 is an equidigital number, since it uses as much as digits as its factorization.

67840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 67840 is about 260.4611295376. The cubic root of 67840 is about 40.7845128969.

It can be divided in two parts, 67 and 840, that multiplied together give a triangular number (56280 = T₃₃₅).

The spelling of 67840 in words is "sixty-seven thousand, eight hundred forty".