67504 has 10 divisors (see below), whose sum is σ = 130820. Its totient is φ = 33744.

The previous prime is 67499. The next prime is 67511. The reversal of 67504 is 40576.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2094 + ... + 2125.

It is an arithmetic number, because the mean of its divisors is an integer number (13082).

2⁶⁷⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

67504 is a deficient number, since it is larger than the sum of its proper divisors (63316).

67504 is a wasteful number, since it uses less digits than its factorization.

67504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4221 counting only the distinct ones).

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

The square root of 67504 is about 259.8153190249. The cubic root of 67504 is about 40.7170685049.

It can be divided in two parts, 6750 and 4, that multiplied together give a cube (27000 = 30³).

The spelling of 67504 in words is "sixty-seven thousand, five hundred four".