65318000 has 80 divisors (see below), whose sum is σ = 172355040. Its totient is φ = 23744000.

The previous prime is 65317979. The next prime is 65318009. The reversal of 65318000 is 81356.

65318000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×65318000² = 8532882248000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65318009) 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 15 ways as a sum of consecutive naturals, for example, 20516 + ... + 23484.

It is an arithmetic number, because the mean of its divisors is an integer number (2154438).

Almost surely, 2^65318000 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 65318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86177520).

65318000 is an abundant number, since it is smaller than the sum of its proper divisors (107037040).

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

65318000 is a wasteful number, since it uses less digits than its factorization.

65318000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 65318000 is about 8081.9552089825. The cubic root of 65318000 is about 402.7271970658.

Adding to 65318000 its reverse (81356), we get a palindrome (65399356).

The spelling of 65318000 in words is "sixty-five million, three hundred eighteen thousand".