65820096 has 84 divisors (see below), whose sum is σ = 189865000. Its totient is φ = 21800448.

The previous prime is 65820091. The next prime is 65820109. The reversal of 65820096 is 69002856.

65820096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 65820096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65820091) 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 11 ways as a sum of consecutive naturals, for example, 131655 + ... + 132153.

Almost surely, 2^65820096 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 65820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94932500).

65820096 is an abundant number, since it is smaller than the sum of its proper divisors (124044904).

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

65820096 is a wasteful number, since it uses less digits than its factorization.

65820096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 65820096 is about 8112.9585232516. The cubic root of 65820096 is about 403.7564784079.

The spelling of 65820096 in words is "sixty-five million, eight hundred twenty thousand, ninety-six".