67966944 has 48 divisors (see below), whose sum is σ = 181093248. Its totient is φ = 22315392.

The previous prime is 67966931. The next prime is 67966967. The reversal of 67966944 is 44966976.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 1149 + ... + 11715.

It is an arithmetic number, because the mean of its divisors is an integer number (3772776).

Almost surely, 2^67966944 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 67966944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90546624).

67966944 is an abundant number, since it is smaller than the sum of its proper divisors (113126304).

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

67966944 is a wasteful number, since it uses less digits than its factorization.

67966944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10647 (or 10639 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 67966944 is about 8244.2066931876. The cubic root of 67966944 is about 408.0993606526.

The spelling of 67966944 in words is "sixty-seven million, nine hundred sixty-six thousand, nine hundred forty-four".