65820144 has 80 divisors (see below), whose sum is σ = 184245152. Its totient is φ = 20127744.

The previous prime is 65820119. The next prime is 65820149. The reversal of 65820144 is 44102856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65820149) 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, 195144 + ... + 195480.

Almost surely, 2^65820144 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 65820144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92122576).

65820144 is an abundant number, since it is smaller than the sum of its proper divisors (118425008).

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

65820144 is a wasteful number, since it uses less digits than its factorization.

65820144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 65820144 is about 8112.9614814813. The cubic root of 65820144 is about 403.7565765558.

It can be divided in two parts, 658 and 20144, that added together give a palindrome (20802).

The spelling of 65820144 in words is "sixty-five million, eight hundred twenty thousand, one hundred forty-four".