65946820 has 24 divisors (see below), whose sum is σ = 140160384. Its totient is φ = 26060256.

The previous prime is 65946817. The next prime is 65946823. The reversal of 65946820 is 2864956.

It is a happy number.

65946820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65946817) and next prime (65946823).

It is a super-2 number, since 2×65946820² = 8697966136224800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65946823) 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, 18204 + ... + 21523.

It is an arithmetic number, because the mean of its divisors is an integer number (5840016).

Almost surely, 2^65946820 is an apocalyptic number.

It is an amenable number.

65946820 is an abundant number, since it is smaller than the sum of its proper divisors (74213564).

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

65946820 is a wasteful number, since it uses less digits than its factorization.

65946820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39819 (or 39817 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 65946820 is about 8120.7647423134. The cubic root of 65946820 is about 404.0154309042.

It can be divided in two parts, 65946 and 820, that added together give a palindrome (66766).

The spelling of 65946820 in words is "sixty-five million, nine hundred forty-six thousand, eight hundred twenty".