65468736 has 140 divisors (see below), whose sum is σ = 197865492. Its totient is φ = 21399552.

The previous prime is 65468731. The next prime is 65468743. The reversal of 65468736 is 63786456.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 15681600 = 7056^2 + 3960^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (725760) is a multiple of the sum of its prime factors (270).

It is a junction number, because it is equal to n+sod(n) for n = 65468691 and 65468700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65468731) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 378346 + ... + 378518.

Almost surely, 2^65468736 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 65468736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98932746).

65468736 is an abundant number, since it is smaller than the sum of its proper divisors (132396756).

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

65468736 is a wasteful number, since it uses less digits than its factorization.

65468736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 65468736 is about 8091.2753012118. The cubic root of 65468736 is about 403.0367536421.

Adding to 65468736 its product of digits (725760), we get a square (66194496 = 8136²).

The spelling of 65468736 in words is "sixty-five million, four hundred sixty-eight thousand, seven hundred thirty-six".