65413296 has 120 divisors (see below), whose sum is σ = 199997616. Its totient is φ = 19837440.

The previous prime is 65413291. The next prime is 65413303. The reversal of 65413296 is 69231456.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 65413296.

It is not an unprimeable number, because it can be changed into a prime (65413291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155166 + ... + 155586.

Almost surely, 2^65413296 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 65413296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99998808).

65413296 is an abundant number, since it is smaller than the sum of its proper divisors (134584320).

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

65413296 is a wasteful number, since it uses less digits than its factorization.

65413296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 522 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 65413296 is about 8087.8486632726. The cubic root of 65413296 is about 402.9229554684.

The spelling of 65413296 in words is "sixty-five million, four hundred thirteen thousand, two hundred ninety-six".