65968000 has 256 divisors, whose sum is σ = 203673600. Its totient is φ = 20736000.

The previous prime is 65967997. The next prime is 65968009. The reversal of 65968000 is 86956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65968009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2127985 + ... + 2128015.

It is an arithmetic number, because the mean of its divisors is an integer number (795600).

Almost surely, 2^65968000 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 65968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101836800).

65968000 is an abundant number, since it is smaller than the sum of its proper divisors (137705600).

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

65968000 is a wasteful number, since it uses less digits than its factorization.

65968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 65968000 is about 8122.0687019995. The cubic root of 65968000 is about 404.0586785337.

The spelling of 65968000 in words is "sixty-five million, nine hundred sixty-eight thousand".