65506848 has 192 divisors, whose sum is σ = 205752960. Its totient is φ = 18022400.

The previous prime is 65506843. The next prime is 65506877. The reversal of 65506848 is 84860556.

65506848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×65506848³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (65506841) 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, 735988 + ... + 736076.

It is an arithmetic number, because the mean of its divisors is an integer number (1071630).

Almost surely, 2^65506848 is an apocalyptic number.

65506848 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 65506848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102876480).

65506848 is an abundant number, since it is smaller than the sum of its proper divisors (140246112).

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

65506848 is a wasteful number, since it uses less digits than its factorization.

65506848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 65506848 is about 8093.6300879148. The cubic root of 65506848 is about 403.1149464712.

The spelling of 65506848 in words is "sixty-five million, five hundred six thousand, eight hundred forty-eight".