65587968 has 90 divisors (see below), whose sum is σ = 195633284. Its totient is φ = 21855744.

The previous prime is 65587967. The next prime is 65587979. The reversal of 65587968 is 86978556.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (65587967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19155 + ... + 22317.

Almost surely, 2^65587968 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 65587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97816642).

65587968 is an abundant number, since it is smaller than the sum of its proper divisors (130045316).

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

65587968 is an equidigital number, since it uses as much as digits as its factorization.

65587968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3168 counting only the distinct ones).

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

The square root of 65587968 is about 8098.6398858080. The cubic root of 65587968 is about 403.2812761324.

The spelling of 65587968 in words is "sixty-five million, five hundred eighty-seven thousand, nine hundred sixty-eight".