67968160 has 96 divisors (see below), whose sum is σ = 177366672. Its totient is φ = 24453120.

The previous prime is 67968139. The next prime is 67968163. The reversal of 67968160 is 6186976.

It can be written as a sum of positive squares in 8 ways, for example, as 3519376 + 64448784 = 1876^2 + 8028^2 .

It is not an unprimeable number, because it can be changed into a prime (67968163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84882 + ... + 85678.

Almost surely, 2^67968160 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 67968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88683336).

67968160 is an abundant number, since it is smaller than the sum of its proper divisors (109398512).

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

67968160 is a wasteful number, since it uses less digits than its factorization.

67968160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 67968160 is about 8244.2804416153. The cubic root of 67968160 is about 408.1017944135.

The spelling of 67968160 in words is "sixty-seven million, nine hundred sixty-eight thousand, one hundred sixty".