68049 has 6 divisors (see below), whose sum is σ = 98306. Its totient is φ = 45360.

The previous prime is 68041. The next prime is 68053. The reversal of 68049 is 94086.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 17424 = 225^2 + 132^2 .

It is not a de Polignac number, because 68049 - 2³ = 68041 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68041) by changing a digit.

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 in 5 ways as a sum of consecutive naturals, for example, 3772 + ... + 3789.

2⁶⁸⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

68049 is a deficient number, since it is larger than the sum of its proper divisors (30257).

68049 is a wasteful number, since it uses less digits than its factorization.

68049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7567 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 68049 is about 260.8620324999. The cubic root of 68049 is about 40.8263526407.

It can be divided in two parts, 680 and 49, that added together give a 6-th power (729 = 3⁶).

The spelling of 68049 in words is "sixty-eight thousand, forty-nine".