65316960 has 144 divisors (see below), whose sum is σ = 226555056. Its totient is φ = 17132544.

The previous prime is 65316931. The next prime is 65316967. The reversal of 65316960 is 6961356.

65316960 is a `hidden beast` number, since 6 + 531 + 69 + 60 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65316967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96142 + ... + 96818.

It is an arithmetic number, because the mean of its divisors is an integer number (1573299).

Almost surely, 2^65316960 is an apocalyptic number.

65316960 is a gapful number since it is divisible by the number (60) 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 65316960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113277528).

65316960 is an abundant number, since it is smaller than the sum of its proper divisors (161238096).

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

65316960 is a wasteful number, since it uses less digits than its factorization.

65316960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 65316960 is about 8081.8908678601. The cubic root of 65316960 is about 402.7250596330.

The spelling of 65316960 in words is "sixty-five million, three hundred sixteen thousand, nine hundred sixty".