67506 has 8 divisors (see below), whose sum is σ = 135024. Its totient is φ = 22500.

The previous prime is 67499. The next prime is 67511. The reversal of 67506 is 60576.

It is a sphenic number, since it is the product of 3 distinct primes.

67506 is an admirable number.

It is a plaindrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5620 + ... + 5631.

It is an arithmetic number, because the mean of its divisors is an integer number (16878).

2⁶⁷⁵⁰⁶ is an apocalyptic number.

67506 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67512).

67506 is a wasteful number, since it uses less digits than its factorization.

67506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11256.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 67506 is about 259.8191678841. The cubic root of 67506 is about 40.7174706210.

The spelling of 67506 in words is "sixty-seven thousand, five hundred six".