65827040 has 48 divisors (see below), whose sum is σ = 156074688. Its totient is φ = 26236416.

The previous prime is 65827037. The next prime is 65827063. The reversal of 65827040 is 4072856.

65827040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 65826988 and 65827006.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 59129 + ... + 60231.

It is an arithmetic number, because the mean of its divisors is an integer number (3251556).

Almost surely, 2^65827040 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 65827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78037344).

65827040 is an abundant number, since it is smaller than the sum of its proper divisors (90247648).

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

65827040 is a wasteful number, since it uses less digits than its factorization.

65827040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 65827040 is about 8113.3864692864. The cubic root of 65827040 is about 403.7706766370.

Adding to 65827040 its reverse (4072856), we get a palindrome (69899896).

The spelling of 65827040 in words is "sixty-five million, eight hundred twenty-seven thousand, forty".