65884896 has 144 divisors (see below), whose sum is σ = 233670528. Its totient is φ = 17107200.

The previous prime is 65884879. The next prime is 65884921. The reversal of 65884896 is 69848856.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20691 + ... + 23661.

It is an arithmetic number, because the mean of its divisors is an integer number (1622712).

Almost surely, 2^65884896 is an apocalyptic number.

65884896 is a gapful number since it is divisible by the number (66) 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 65884896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116835264).

65884896 is an abundant number, since it is smaller than the sum of its proper divisors (167785632).

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

65884896 is a wasteful number, since it uses less digits than its factorization.

65884896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005 (or 2994 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 65884896 is about 8116.9511517564. The cubic root of 65884896 is about 403.8889346035. Note that the first 3 decimals are identical.

The spelling of 65884896 in words is "sixty-five million, eight hundred eighty-four thousand, eight hundred ninety-six".