65448768 has 224 divisors, whose sum is σ = 228234240. Its totient is φ = 16035840.

The previous prime is 65448767. The next prime is 65448811. The reversal of 65448768 is 86784456.

65448768 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 (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65448763) 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 31 ways as a sum of consecutive naturals, for example, 280780 + ... + 281012.

Almost surely, 2^65448768 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 65448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114117120).

65448768 is an abundant number, since it is smaller than the sum of its proper divisors (162785472).

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

65448768 is a wasteful number, since it uses less digits than its factorization.

65448768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 65448768 is about 8090.0412854324. The cubic root of 65448768 is about 402.9957739994.

The spelling of 65448768 in words is "sixty-five million, four hundred forty-eight thousand, seven hundred sixty-eight".