10581920 has 24 divisors (see below), whose sum is σ = 25000164. Its totient is φ = 4232704.

The previous prime is 10581899. The next prime is 10581937. The reversal of 10581920 is 2918501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10471696 + 110224 = 3236^2 + 332^2 .

It is a super-2 number, since 2×10581920² = 223954061772800, which contains 22 as substring.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 10581920.

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, 32909 + ... + 33228.

Almost surely, 2^10581920 is an apocalyptic number.

10581920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10581920 is an abundant number, since it is smaller than the sum of its proper divisors (14418244).

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

10581920 is an equidigital number, since it uses as much as digits as its factorization.

10581920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66152 (or 66144 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 10581920 is about 3252.9863202909. The cubic root of 10581920 is about 219.5439589004.

The spelling of 10581920 in words is "ten million, five hundred eighty-one thousand, nine hundred twenty".