10026560 has 28 divisors (see below), whose sum is σ = 23876508. Its totient is φ = 4010496.

The previous prime is 10026553. The next prime is 10026571. The reversal of 10026560 is 6562001.

10026560 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 7929856 + 2096704 = 2816^2 + 1448^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15347 + ... + 15986.

Almost surely, 2^10026560 is an apocalyptic number.

10026560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10026560 is an abundant number, since it is smaller than the sum of its proper divisors (13849948).

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

10026560 is an equidigital number, since it uses as much as digits as its factorization.

10026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31350 (or 31340 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 10026560 is about 3166.4743801269. The cubic root of 10026560 is about 215.6340396686.

Adding to 10026560 its reverse (6562001), we get a palindrome (16588561).

The spelling of 10026560 in words is "ten million, twenty-six thousand, five hundred sixty".