68409441 has 15 divisors (see below), whose sum is σ = 102303201. Its totient is φ = 45556668.

The previous prime is 68409427. The next prime is 68409457. The reversal of 68409441 is 14490486.

It is a happy number.

The square root of 68409441 is 8271.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 68409441 - 2¹⁷ = 68278369 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 68409396 and 68409405.

It is not an unprimeable number, because it can be changed into a prime (68409491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 73980 + ... + 74898.

Almost surely, 2^68409441 is an apocalyptic number.

68409441 is the 8271-st square number.

68409441 is the 4136-th centered octagonal number.

It is an amenable number.

68409441 is a deficient number, since it is larger than the sum of its proper divisors (33893760).

68409441 is an frugal number, since it uses more digits than its factorization.

68409441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The cubic root of 68409441 is about 408.9830856442.

Multiplying 68409441 by its sum of digits (36), we get a square (2462739876 = 49626²).

The spelling of 68409441 in words is "sixty-eight million, four hundred nine thousand, four hundred forty-one".