65208000 has 448 divisors, whose sum is σ = 266273280. Its totient is φ = 13824000.

The previous prime is 65207983. The next prime is 65208007. The reversal of 65208000 is 80256.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (65208007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3431991 + ... + 3432009.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 2^65208000 is an apocalyptic number.

65208000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133136640).

65208000 is an abundant number, since it is smaller than the sum of its proper divisors (201065280).

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

65208000 is a wasteful number, since it uses less digits than its factorization.

65208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 65208000 is about 8075.1470574845. The cubic root of 65208000 is about 402.5009966155.

Adding to 65208000 its reverse (80256), we get a palindrome (65288256).

The spelling of 65208000 in words is "sixty-five million, two hundred eight thousand".