65841984 has 140 divisors (see below), whose sum is σ = 210404964. Its totient is φ = 20238336.

The previous prime is 65841967. The next prime is 65842009. The reversal of 65841984 is 48914856.

65841984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37454400 + 28387584 = 6120^2 + 5328^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66904 + ... + 67880.

Almost surely, 2^65841984 is an apocalyptic number.

65841984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65841984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105202482).

65841984 is an abundant number, since it is smaller than the sum of its proper divisors (144562980).

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

65841984 is a wasteful number, since it uses less digits than its factorization.

65841984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 995 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 65841984 is about 8114.3073641562. The cubic root of 65841984 is about 403.8012288864.

It can be divided in two parts, 658419 and 84, that added together give a cube (658503 = 87³).

The spelling of 65841984 in words is "sixty-five million, eight hundred forty-one thousand, nine hundred eighty-four".