65948832 has 36 divisors (see below), whose sum is σ = 187542810. Its totient is φ = 21982848.

The previous prime is 65948803. The next prime is 65948851. The reversal of 65948832 is 23884956.

65948832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 40908816 + 25040016 = 6396^2 + 5004^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 114207 + ... + 114782.

Almost surely, 2^65948832 is an apocalyptic number.

It is an amenable number.

65948832 is an abundant number, since it is smaller than the sum of its proper divisors (121593978).

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

65948832 is a wasteful number, since it uses less digits than its factorization.

65948832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229005 (or 228994 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 65948832 is about 8120.8886213271. Note that the first 3 decimals coincide. The cubic root of 65948832 is about 404.0195396229.

The spelling of 65948832 in words is "sixty-five million, nine hundred forty-eight thousand, eight hundred thirty-two".