68059040 has 72 divisors (see below), whose sum is σ = 187062372. Its totient is φ = 23331840.

The previous prime is 68059039. The next prime is 68059063. The reversal of 68059040 is 4095086.

It can be written as a sum of positive squares in 2 ways, for example, as 67305616 + 753424 = 8204^2 + 868^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 68058988 and 68059006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3500 + ... + 12180.

Almost surely, 2^68059040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93531186).

68059040 is an abundant number, since it is smaller than the sum of its proper divisors (119003332).

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

68059040 is a wasteful number, since it uses less digits than its factorization.

68059040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8710 (or 8695 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 68059040 is about 8249.7903003652. The cubic root of 68059040 is about 408.2836039212.

The spelling of 68059040 in words is "sixty-eight million, fifty-nine thousand, forty".