10228560 has 160 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 2433024.

The previous prime is 10228531. The next prime is 10228567. The reversal of 10228560 is 6582201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10228560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10228567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93786 + ... + 93894.

It is an arithmetic number, because the mean of its divisors is an integer number (220968).

Almost surely, 2^10228560 is an apocalyptic number.

10228560 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 10228560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

10228560 is an abundant number, since it is smaller than the sum of its proper divisors (25126320).

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

10228560 is a wasteful number, since it uses less digits than its factorization.

10228560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10228560 is about 3198.2120004778. The cubic root of 10228560 is about 217.0725121695.

The spelling of 10228560 in words is "ten million, two hundred twenty-eight thousand, five hundred sixty".