10528560 has 120 divisors (see below), whose sum is σ = 40428960. Its totient is φ = 2405376.

The previous prime is 10528541. The next prime is 10528591. The reversal of 10528560 is 6582501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10528560² = 221701151347200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3996 + ... + 6084.

It is an arithmetic number, because the mean of its divisors is an integer number (336908).

Almost surely, 2^10528560 is an apocalyptic number.

10528560 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 10528560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20214480).

10528560 is an abundant number, since it is smaller than the sum of its proper divisors (29900400).

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

10528560 is a wasteful number, since it uses less digits than its factorization.

10528560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 10528560 is about 3244.7742602529. The cubic root of 10528560 is about 219.1743154590.

The spelling of 10528560 in words is "ten million, five hundred twenty-eight thousand, five hundred sixty".