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BaseRepresentation
bin1111110000
31101100
433300
513013
64400
72640
oct1760
91340
101008
11837
12700
135c7
14520
15473
hex3f0

1008 has 30 divisors (see below), whose sum is σ = 3224. Its totient is φ = 288.

The previous prime is 997. The next prime is 1009. The reversal of 1008 is 8001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 2, base 4, base 6, base 12 and base 14.

It is a zygodrome in base 2, base 4 and base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141 + ... + 147.

1008 is a gapful number since it is divisible by the number (18) 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 1008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612).

1008 is an abundant number, since it is smaller than the sum of its proper divisors (2216).

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

1008 is a wasteful number, since it uses less digits than its factorization.

1008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1008 is about 31.7490157328. The cubic root of 1008 is about 10.0265958699.

Adding to 1008 its reverse (8001), we get a palindrome (9009).

The spelling of 1008 in words is "one thousand, eight".