65505200 has 60 divisors (see below), whose sum is σ = 162831840. Its totient is φ = 25294080.

The previous prime is 65505149. The next prime is 65505241. The reversal of 65505200 is 250556.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8777 + ... + 14423.

It is an arithmetic number, because the mean of its divisors is an integer number (2713864).

Almost surely, 2^65505200 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 65505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81415920).

65505200 is an abundant number, since it is smaller than the sum of its proper divisors (97326640).

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

65505200 is a wasteful number, since it uses less digits than its factorization.

65505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 65505200 is about 8093.5282788164. The cubic root of 65505200 is about 403.1115659646. Note that the first 3 decimals are identical.

Adding to 65505200 its reverse (250556), we get a palindrome (65755756).

The spelling of 65505200 in words is "sixty-five million, five hundred five thousand, two hundred".