65936540 has 48 divisors (see below), whose sum is σ = 148327200. Its totient is φ = 24532992.

The previous prime is 65936531. The next prime is 65936543. The reversal of 65936540 is 4563956.

65936540 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

65936540 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 65936494 and 65936503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65936543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29171 + ... + 31349.

It is an arithmetic number, because the mean of its divisors is an integer number (3090150).

Almost surely, 2^65936540 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 65936540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74163600).

65936540 is an abundant number, since it is smaller than the sum of its proper divisors (82390660).

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

65936540 is a wasteful number, since it uses less digits than its factorization.

65936540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The square root of 65936540 is about 8120.1317723298. The cubic root of 65936540 is about 403.9944367433.

The spelling of 65936540 in words is "sixty-five million, nine hundred thirty-six thousand, five hundred forty".