1020008 has 32 divisors (see below), whose sum is σ = 2129760. Its totient is φ = 454080.

The previous prime is 1020007. The next prime is 1020011. The reversal of 1020008 is 8000201.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (1020001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5810 + ... + 5982.

It is an arithmetic number, because the mean of its divisors is an integer number (66555).

2^1020008 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 1020008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064880).

1020008 is an abundant number, since it is smaller than the sum of its proper divisors (1109752).

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

1020008 is a wasteful number, since it uses less digits than its factorization.

1020008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1020008 is about 1009.9544544186. The cubic root of 1020008 is about 100.6625341247.

Adding to 1020008 its reverse (8000201), we get a palindrome (9020209).

The spelling of 1020008 in words is "one million, twenty thousand, eight".