67140 has 36 divisors (see below), whose sum is σ = 204204. Its totient is φ = 17856.

The previous prime is 67139. The next prime is 67141. The reversal of 67140 is 4176.

It is an interprime number because it is at equal distance from previous prime (67139) and next prime (67141).

It can be written as a sum of positive squares in 2 ways, for example, as 30276 + 36864 = 174^2 + 192^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (67141) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7 + ... + 366.

2⁶⁷¹⁴⁰ is an apocalyptic number.

67140 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 67140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102102).

67140 is an abundant number, since it is smaller than the sum of its proper divisors (137064).

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

67140 is a wasteful number, since it uses less digits than its factorization.

67140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 67140 is about 259.1138745803. The cubic root of 67140 is about 40.6437507130.

The spelling of 67140 in words is "sixty-seven thousand, one hundred forty".