65005800 has 48 divisors (see below), whose sum is σ = 201519840. Its totient is φ = 17334720.

The previous prime is 65005789. The next prime is 65005823. The reversal of 65005800 is 850056.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53572 + ... + 54771.

It is an arithmetic number, because the mean of its divisors is an integer number (4198330).

Almost surely, 2^65005800 is an apocalyptic number.

65005800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65005800 is an abundant number, since it is smaller than the sum of its proper divisors (136514040).

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

65005800 is a wasteful number, since it uses less digits than its factorization.

65005800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108362 (or 108353 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 65005800 is about 8062.6174410051. The cubic root of 65005800 is about 402.0845345850.

Adding to 65005800 its reverse (850056), we get a palindrome (65855856).

The spelling of 65005800 in words is "sixty-five million, five thousand, eight hundred".