65228800 has 234 divisors, whose sum is σ = 202628958. Its totient is φ = 20643840.

The previous prime is 65228797. The next prime is 65228831. The reversal of 65228800 is 882256.

It can be written as a sum of positive squares in 3 ways, for example, as 200704 + 65028096 = 448^2 + 8064^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5017594 + ... + 5017606.

Almost surely, 2^65228800 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 65228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101314479).

65228800 is an abundant number, since it is smaller than the sum of its proper divisors (137400158).

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

65228800 is a wasteful number, since it uses less digits than its factorization.

65228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 65228800 is about 8076.4348570393. The cubic root of 65228800 is about 402.5437885567.

The spelling of 65228800 in words is "sixty-five million, two hundred twenty-eight thousand, eight hundred".