68576 has 12 divisors (see below), whose sum is σ = 135072. Its totient is φ = 34272.

The previous prime is 68567. The next prime is 68581. The reversal of 68576 is 67586.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 2143 = 68576 / (6 + 8 + 5 + 7 + 6).

It is a congruent number.

It is an unprimeable number.

68576 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 1040 + ... + 1103.

It is an arithmetic number, because the mean of its divisors is an integer number (11256).

2⁶⁸⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

68576 is a deficient number, since it is larger than the sum of its proper divisors (66496).

68576 is a wasteful number, since it uses less digits than its factorization.

68576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2145 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 68576 is about 261.8701968533. The cubic root of 68576 is about 40.9314738716.

Subtracting from 68576 its reverse (67586), we obtain a triangular number (990 = T₄₄).

The spelling of 68576 in words is "sixty-eight thousand, five hundred seventy-six".