65681200 has 120 divisors (see below), whose sum is σ = 180175968. Its totient is φ = 22794240.

The previous prime is 65681171. The next prime is 65681207. The reversal of 65681200 is 218656.

It is not an unprimeable number, because it can be changed into a prime (65681207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88029 + ... + 88771.

Almost surely, 2^65681200 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 65681200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90087984).

65681200 is an abundant number, since it is smaller than the sum of its proper divisors (114494768).

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

65681200 is a wasteful number, since it uses less digits than its factorization.

65681200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 65681200 is about 8104.3938699942. The cubic root of 65681200 is about 403.4722711165.

Adding to 65681200 its reverse (218656), we get a palindrome (65899856).

The spelling of 65681200 in words is "sixty-five million, six hundred eighty-one thousand, two hundred".