10585880 has 32 divisors (see below), whose sum is σ = 24589440. Its totient is φ = 4097280.

The previous prime is 10585877. The next prime is 10585891. The reversal of 10585880 is 8858501.

It is a super-2 number, since 2×10585880² = 224121710748800, 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 10585880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3029 + ... + 5508.

It is an arithmetic number, because the mean of its divisors is an integer number (768420).

Almost surely, 2^10585880 is an apocalyptic number.

10585880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10585880 is an abundant number, since it is smaller than the sum of its proper divisors (14003560).

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

10585880 is a wasteful number, since it uses less digits than its factorization.

10585880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8579 (or 8575 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 35.

The square root of 10585880 is about 3253.5949348375. The cubic root of 10585880 is about 219.5713416328.

The spelling of 10585880 in words is "ten million, five hundred eighty-five thousand, eight hundred eighty".