64848 has 40 divisors (see below), whose sum is σ = 192448. Its totient is φ = 18432.

The previous prime is 64817. The next prime is 64849. The reversal of 64848 is 84846.

It can be divided in two parts, 648 and 48, that added together give a palindrome (696).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 64848.

It is not an unprimeable number, because it can be changed into a prime (64849) by changing a digit.

64848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240 + ... + 432.

2^{64848} 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 64848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96224).

64848 is an abundant number, since it is smaller than the sum of its proper divisors (127600).

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

64848 is a wasteful number, since it uses less digits than its factorization.

64848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 64848 is about 254.6527046784. The cubic root of 64848 is about 40.1758920824.

The spelling of 64848 in words is "sixty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 193 336 386 579 772 1158 1351 1544 2316 2702 3088 4053 4632 5404 8106 9264 10808 16212 21616 32424 64848

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