65677656 has 32 divisors (see below), whose sum is σ = 179121600. Its totient is φ = 19902240.

The previous prime is 65677643. The next prime is 65677657.

65677656 is nontrivially palindromic in base 10.

65677656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65677657) by changing a digit.

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, 124126 + ... + 124653.

It is an arithmetic number, because the mean of its divisors is an integer number (5597550).

Almost surely, 2^65677656 is an apocalyptic number.

65677656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

65677656 is an abundant number, since it is smaller than the sum of its proper divisors (113443944).

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

65677656 is a wasteful number, since it uses less digits than its factorization.

65677656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248799 (or 248795 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 48.

The square root of 65677656 is about 8104.1752202183. The cubic root of 65677656 is about 403.4650141874.

The spelling of 65677656 in words is "sixty-five million, six hundred seventy-seven thousand, six hundred fifty-six".