1008520 has 32 divisors (see below), whose sum is σ = 2390400. Its totient is φ = 381888.

The previous prime is 1008517. The next prime is 1008541. The reversal of 1008520 is 258001.

It is a happy number.

1008520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1008520² = 2034225180800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1008494 and 1008503.

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, 97 + ... + 1423.

It is an arithmetic number, because the mean of its divisors is an integer number (74700).

2^1008520 is an apocalyptic number.

1008520 is a gapful number since it is divisible by the number (10) 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 1008520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195200).

1008520 is an abundant number, since it is smaller than the sum of its proper divisors (1381880).

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

1008520 is a wasteful number, since it uses less digits than its factorization.

1008520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1008520 is about 1004.2509646498. The cubic root of 1008520 is about 100.2831972362.

The spelling of 1008520 in words is "one million, eight thousand, five hundred twenty".