67968864 has 144 divisors (see below), whose sum is σ = 208825344. Its totient is φ = 20908800.

The previous prime is 67968829. The next prime is 67968899. The reversal of 67968864 is 46886976.

It is an interprime number because it is at equal distance from previous prime (67968829) and next prime (67968899).

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 67968864.

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, 205179 + ... + 205509.

It is an arithmetic number, because the mean of its divisors is an integer number (1450176).

Almost surely, 2^67968864 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 67968864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104412672).

67968864 is an abundant number, since it is smaller than the sum of its proper divisors (140856480).

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

67968864 is a wasteful number, since it uses less digits than its factorization.

67968864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

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

The square root of 67968864 is about 8244.3231377718. The cubic root of 67968864 is about 408.1032034196.

The spelling of 67968864 in words is "sixty-seven million, nine hundred sixty-eight thousand, eight hundred sixty-four".