65523984 has 80 divisors (see below), whose sum is σ = 182399040. Its totient is φ = 20193280.

The previous prime is 65523977. The next prime is 65524007. The reversal of 65523984 is 48932556.

65523984 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 15 ways as a sum of consecutive naturals, for example, 47464 + ... + 48824.

It is an arithmetic number, because the mean of its divisors is an integer number (2279988).

Almost surely, 2^65523984 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 65523984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91199520).

65523984 is an abundant number, since it is smaller than the sum of its proper divisors (116875056).

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

65523984 is a wasteful number, since it uses less digits than its factorization.

65523984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1442 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 65523984 is about 8094.6886289715. The cubic root of 65523984 is about 403.1500938168.

The spelling of 65523984 in words is "sixty-five million, five hundred twenty-three thousand, nine hundred eighty-four".