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8064 = 27327
BaseRepresentation
bin1111110000000
3102001200
41332000
5224224
6101200
732340
oct17600
912050
108064
116071
124800
133894
142d20
1525c9
hex1f80

8064 has 48 divisors (see below), whose sum is σ = 26520. Its totient is φ = 2304.

The previous prime is 8059. The next prime is 8069. The reversal of 8064 is 4608.

Adding to 8064 its product of nonzero digits (192), we get a triangular number (8256 = T128).

It can be divided in two parts, 80 and 64, that added together give a square (144 = 122).

It is an interprime number because it is at equal distance from previous prime (8059) and next prime (8069).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8069) by changing a digit.

8064 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 5 ways as a sum of consecutive naturals, for example, 1149 + ... + 1155.

28064 is an apocalyptic number.

8064 is a gapful number since it is divisible by the number (84) 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 8064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13260).

8064 is an abundant number, since it is smaller than the sum of its proper divisors (18456).

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

8064 is a wasteful number, since it uses less digits than its factorization.

8064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8064 is about 89.7997772826. The cubic root of 8064 is about 20.0531917399.

The spelling of 8064 in words is "eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064