1008020 has 24 divisors (see below), whose sum is σ = 2280264. Its totient is φ = 372096.

The previous prime is 1008017. The next prime is 1008031. The reversal of 1008020 is 208001.

1008020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4 + 1008016 = 2^2 + 1004^2 .

It is a super-2 number, since 2×1008020² = 2032208640800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1007992 and 1008010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1679 + ... + 2198.

It is an arithmetic number, because the mean of its divisors is an integer number (95011).

2^1008020 is an apocalyptic number.

1008020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008020 is an abundant number, since it is smaller than the sum of its proper divisors (1272244).

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

1008020 is a wasteful number, since it uses less digits than its factorization.

1008020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3897 counting only the distinct ones).

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

The square root of 1008020 is about 1004.0019920299. The cubic root of 1008020 is about 100.2666218296.

The spelling of 1008020 in words is "one million, eight thousand, twenty".