65845536 has 48 divisors (see below), whose sum is σ = 174581568. Its totient is φ = 21728000.

The previous prime is 65845529. The next prime is 65845537. The reversal of 65845536 is 63554856.

65845536 = T₁₀₉₁ + T₁₀₉₂ + ... + T₁₁₉₁.

It is a happy number.

65845536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×65845536² = 8671269222254592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65845537) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6301 + ... + 13091.

It is an arithmetic number, because the mean of its divisors is an integer number (3637116).

Almost surely, 2^65845536 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 65845536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87290784).

65845536 is an abundant number, since it is smaller than the sum of its proper divisors (108736032).

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

65845536 is a wasteful number, since it uses less digits than its factorization.

65845536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6897 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 65845536 is about 8114.5262338599. The cubic root of 65845536 is about 403.8084900901.

The spelling of 65845536 in words is "sixty-five million, eight hundred forty-five thousand, five hundred thirty-six".