65256768 has 84 divisors (see below), whose sum is σ = 188180980. Its totient is φ = 21620736.

The previous prime is 65256743. The next prime is 65256769. The reversal of 65256768 is 86765256.

65256768 is a `hidden beast` number, since 6 + 525 + 67 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36869184 + 28387584 = 6072^2 + 5328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65256769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159348 + ... + 159756.

Almost surely, 2^65256768 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 65256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94090490).

65256768 is an abundant number, since it is smaller than the sum of its proper divisors (122924212).

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

65256768 is a wasteful number, since it uses less digits than its factorization.

65256768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 691 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 65256768 is about 8078.1661285220. The cubic root of 65256768 is about 402.6013129222.

The spelling of 65256768 in words is "sixty-five million, two hundred fifty-six thousand, seven hundred sixty-eight".