68984960 has 128 divisors (see below), whose sum is σ = 185068800. Its totient is φ = 24371200.

The previous prime is 68984921. The next prime is 68984969. The reversal of 68984960 is 6948986.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 68984899 and 68984908.

It is not an unprimeable number, because it can be changed into a prime (68984969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288521 + ... + 288759.

It is an arithmetic number, because the mean of its divisors is an integer number (1445850).

Almost surely, 2^68984960 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 68984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

68984960 is an abundant number, since it is smaller than the sum of its proper divisors (116083840).

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

68984960 is a wasteful number, since it uses less digits than its factorization.

68984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The square root of 68984960 is about 8305.7185119651. The cubic root of 68984960 is about 410.1267900552.

The spelling of 68984960 in words is "sixty-eight million, nine hundred eighty-four thousand, nine hundred sixty".