65875968 has 78 divisors (see below), whose sum is σ = 190391604. Its totient is φ = 21946368.

The previous prime is 65875963. The next prime is 65876009. The reversal of 65875968 is 86957856.

65875968 is a `hidden beast` number, since 6 + 587 + 59 + 6 + 8 = 666.

Its product of digits (3628800) is a multiple of the sum of its prime divisors (1792).

It is not an unprimeable number, because it can be changed into a prime (65875963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35971 + ... + 37757.

It is an arithmetic number, because the mean of its divisors is an integer number (2440918).

Almost surely, 2^65875968 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 65875968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95195802).

65875968 is an abundant number, since it is smaller than the sum of its proper divisors (124515636).

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

65875968 is a wasteful number, since it uses less digits than its factorization.

65875968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1792 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 65875968 is about 8116.4011729337. The cubic root of 65875968 is about 403.8706902434.

The spelling of 65875968 in words is "sixty-five million, eight hundred seventy-five thousand, nine hundred sixty-eight".