10585520 has 80 divisors (see below), whose sum is σ = 28069632. Its totient is φ = 3674880.

The previous prime is 10585499. The next prime is 10585529. The reversal of 10585520 is 2558501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10585520² = 224106467340800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10585520.

It is not an unprimeable number, because it can be changed into a prime (10585529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19979 + ... + 20501.

Almost surely, 2^10585520 is an apocalyptic number.

10585520 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 10585520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14034816).

10585520 is an abundant number, since it is smaller than the sum of its proper divisors (17484112).

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

10585520 is a wasteful number, since it uses less digits than its factorization.

10585520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The square root of 10585520 is about 3253.5396109468. The cubic root of 10585520 is about 219.5688525757.

The spelling of 10585520 in words is "ten million, five hundred eighty-five thousand, five hundred twenty".