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668808 = 233271327
BaseRepresentation
bin10100011010010001000
31020222102200
42203102020
5132400213
622200200
75453610
oct2432210
91228380
10668808
11417538
12283060
131a555a
14135a40
15d3273
hexa3488

668808 has 48 divisors (see below), whose sum is σ = 2071680. Its totient is φ = 190944.

The previous prime is 668803. The next prime is 668813. The reversal of 668808 is 808866.

It is an interprime number because it is at equal distance from previous prime (668803) and next prime (668813).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (668803) by changing a digit.

668808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160 + ... + 1167.

It is an arithmetic number, because the mean of its divisors is an integer number (43160).

2668808 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 668808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035840).

668808 is an abundant number, since it is smaller than the sum of its proper divisors (1402872).

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

668808 is a wasteful number, since it uses less digits than its factorization.

668808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 668808 is about 817.8068231557. The cubic root of 668808 is about 87.4514778595.

The spelling of 668808 in words is "six hundred sixty-eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1327 2654 3981 5308 7962 9289 10616 11943 15924 18578 23886 27867 31848 37156 47772 55734 74312 83601 95544 111468 167202 222936 334404 668808