67000960 has 64 divisors (see below), whose sum is σ = 172516680. Its totient is φ = 24735744.

The previous prime is 67000949. The next prime is 67000963. The reversal of 67000960 is 6900076.

It can be written as a sum of positive squares in 4 ways, for example, as 50808384 + 16192576 = 7128^2 + 4024^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (67000963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4294 + ... + 12346.

Almost surely, 2^67000960 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 67000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86258340).

67000960 is an abundant number, since it is smaller than the sum of its proper divisors (105515720).

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

67000960 is a wasteful number, since it uses less digits than its factorization.

67000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8085 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 67000960 is about 8185.4114129957. The cubic root of 67000960 is about 406.1567498792.

The spelling of 67000960 in words is "sixty-seven million, nine hundred sixty", and thus it is an aban number.