67540 has 24 divisors (see below), whose sum is σ = 155232. Its totient is φ = 24480.

The previous prime is 67537. The next prime is 67547. The reversal of 67540 is 4576.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67 + ... + 373.

It is an arithmetic number, because the mean of its divisors is an integer number (6468).

2⁶⁷⁵⁴⁰ 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 67540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77616).

67540 is an abundant number, since it is smaller than the sum of its proper divisors (87692).

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

67540 is a wasteful number, since it uses less digits than its factorization.

67540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 67540 is about 259.8845897702. The cubic root of 67540 is about 40.7243053796.

It can be divided in two parts, 675 and 40, that multiplied together give a cube (27000 = 30³).

The spelling of 67540 in words is "sixty-seven thousand, five hundred forty".