1009008 has 180 divisors, whose sum is σ = 3859128. Its totient is φ = 241920.

The previous prime is 1009007. The next prime is 1009037. The reversal of 1009008 is 8009001.

Added to its reverse (8009001) it gives a square (9018009 = 3003²).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77610 + ... + 77622.

2^1009008 is an apocalyptic number.

1009008 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 1009008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929564).

1009008 is an abundant number, since it is smaller than the sum of its proper divisors (2850120).

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

1009008 is a wasteful number, since it uses less digits than its factorization.

1009008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1009008 is about 1004.4939024205. The cubic root of 1009008 is about 100.2993695510.

Adding to 1009008 its reverse (8009001), we get a square (9018009 = 3003²).

The spelling of 1009008 in words is "one million, nine thousand, eight".