65825920 has 64 divisors (see below), whose sum is σ = 158581440. Its totient is φ = 26127360.

The previous prime is 65825917. The next prime is 65825933. The reversal of 65825920 is 2952856.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 65825920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104005 + ... + 104635.

It is an arithmetic number, because the mean of its divisors is an integer number (2477835).

Almost surely, 2^65825920 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 65825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79290720).

65825920 is an abundant number, since it is smaller than the sum of its proper divisors (92755520).

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

65825920 is a wasteful number, since it uses less digits than its factorization.

65825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 65825920 is about 8113.3174472592. The cubic root of 65825920 is about 403.7683866676.

The spelling of 65825920 in words is "sixty-five million, eight hundred twenty-five thousand, nine hundred twenty".