65223968 has 48 divisors (see below), whose sum is σ = 138910464. Its totient is φ = 30028800.

The previous prime is 65223959. The next prime is 65224001. The reversal of 65223968 is 86932256.

65223968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 24293 + ... + 26843.

It is an arithmetic number, because the mean of its divisors is an integer number (2893968).

Almost surely, 2^65223968 is an apocalyptic number.

65223968 is a gapful number since it is divisible by the number (68) 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 65223968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69455232).

65223968 is an abundant number, since it is smaller than the sum of its proper divisors (73686496).

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

65223968 is a wasteful number, since it uses less digits than its factorization.

65223968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2617 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The square root of 65223968 is about 8076.1357096077. The cubic root of 65223968 is about 402.5338484709.

The spelling of 65223968 in words is "sixty-five million, two hundred twenty-three thousand, nine hundred sixty-eight".