65984120 has 64 divisors (see below), whose sum is σ = 154828800. Its totient is φ = 25280640.

The previous prime is 65984101. The next prime is 65984137. The reversal of 65984120 is 2148956.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157271 + ... + 157689.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 2^65984120 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 65984120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77414400).

65984120 is an abundant number, since it is smaller than the sum of its proper divisors (88844680).

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

65984120 is a wasteful number, since it uses less digits than its factorization.

65984120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 65984120 is about 8123.0609994016. The cubic root of 65984120 is about 404.0915879010.

The spelling of 65984120 in words is "sixty-five million, nine hundred eighty-four thousand, one hundred twenty".