68967648 has 72 divisors (see below), whose sum is σ = 198152136. Its totient is φ = 22752000.

The previous prime is 68967631. The next prime is 68967649. The reversal of 68967648 is 84676986.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 68967594 and 68967603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68967649) 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 11 ways as a sum of consecutive naturals, for example, 27903 + ... + 30273.

It is an arithmetic number, because the mean of its divisors is an integer number (2752113).

Almost surely, 2^68967648 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 68967648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99076068).

68967648 is an abundant number, since it is smaller than the sum of its proper divisors (129184488).

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

68967648 is a wasteful number, since it uses less digits than its factorization.

68967648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2477 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 68967648 is about 8304.6762730404. The cubic root of 68967648 is about 410.0924796345.

The spelling of 68967648 in words is "sixty-eight million, nine hundred sixty-seven thousand, six hundred forty-eight".