68359824 has 135 divisors (see below), whose sum is σ = 211143387. Its totient is φ = 20636928.

The previous prime is 68359807. The next prime is 68359829. The reversal of 68359824 is 42895386.

The square root of 68359824 is 8268.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1774224 + 66585600 = 1332^2 + 8160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 68359824.

It is not an unprimeable number, because it can be changed into a prime (68359829) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1289782 + ... + 1289834.

Almost surely, 2^68359824 is an apocalyptic number.

68359824 is the 8268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68359824

68359824 is an abundant number, since it is smaller than the sum of its proper divisors (142783563).

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

68359824 is a wasteful number, since it uses less digits than its factorization.

68359824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 71 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The cubic root of 68359824 is about 408.8841839846.

The spelling of 68359824 in words is "sixty-eight million, three hundred fifty-nine thousand, eight hundred twenty-four".