10585812 has 48 divisors (see below), whose sum is σ = 26913600. Its totient is φ = 3225600.

The previous prime is 10585807. The next prime is 10585829. The reversal of 10585812 is 21858501.

It is a super-2 number, since 2×10585812² = 224118831398688, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10585812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5812 + ... + 7412.

It is an arithmetic number, because the mean of its divisors is an integer number (560700).

Almost surely, 2^10585812 is an apocalyptic number.

10585812 is a gapful number since it is divisible by the number (12) 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 10585812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13456800).

10585812 is an abundant number, since it is smaller than the sum of its proper divisors (16327788).

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

10585812 is a wasteful number, since it uses less digits than its factorization.

10585812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 10585812 is about 3253.5844848413. The cubic root of 10585812 is about 219.5708714819.

The spelling of 10585812 in words is "ten million, five hundred eighty-five thousand, eight hundred twelve".