65795640 has 128 divisors (see below), whose sum is σ = 212889600. Its totient is φ = 16220160.

The previous prime is 65795621. The next prime is 65795641. The reversal of 65795640 is 4659756.

It is a junction number, because it is equal to n+sod(n) for n = 65795592 and 65795601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65795641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 85176 + ... + 85944.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 2^65795640 is an apocalyptic number.

65795640 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 65795640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106444800).

65795640 is an abundant number, since it is smaller than the sum of its proper divisors (147093960).

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

65795640 is a wasteful number, since it uses less digits than its factorization.

65795640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 65795640 is about 8111.4511648656. The cubic root of 65795640 is about 403.7064658624.

The spelling of 65795640 in words is "sixty-five million, seven hundred ninety-five thousand, six hundred forty".