68581968 has 120 divisors (see below), whose sum is σ = 222048288. Its totient is φ = 18079488.

The previous prime is 68581943. The next prime is 68581993. The reversal of 68581968 is 86918586.

It is an interprime number because it is at equal distance from previous prime (68581943) and next prime (68581993).

It is a self number, because there is not a number n which added to its sum of digits gives 68581968.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29455 + ... + 31697.

Almost surely, 2^68581968 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 68581968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111024144).

68581968 is an abundant number, since it is smaller than the sum of its proper divisors (153466320).

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

68581968 is a wasteful number, since it uses less digits than its factorization.

68581968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2268 counting only the distinct ones).

The product of its digits is 829440, while the sum is 51.

The square root of 68581968 is about 8281.4230661161. The cubic root of 68581968 is about 409.3266122557.

The spelling of 68581968 in words is "sixty-eight million, five hundred eighty-one thousand, nine hundred sixty-eight".