68351040 has 196 divisors, whose sum is σ = 244862604. Its totient is φ = 18164736.

The previous prime is 68351029. The next prime is 68351047. The reversal of 68351040 is 4015386.

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 20575296 = 6912^2 + 4536^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 68350995 and 68351013.

It is not an unprimeable number, because it can be changed into a prime (68351047) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 233134 + ... + 233426.

It is an arithmetic number, because the mean of its divisors is an integer number (1249299).

Almost surely, 2^68351040 is an apocalyptic number.

68351040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122431302).

68351040 is an abundant number, since it is smaller than the sum of its proper divisors (176511564).

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

68351040 is an equidigital number, since it uses as much as digits as its factorization.

68351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 68351040 is about 8267.4687782900. The cubic root of 68351040 is about 408.8666698351.

It can be divided in two parts, 6835 and 1040, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 68351040 in words is "sixty-eight million, three hundred fifty-one thousand, forty".