10812824 has 64 divisors (see below), whose sum is σ = 24192000. Its totient is φ = 4475520.

The previous prime is 10812821. The next prime is 10812827. The reversal of 10812824 is 42821801.

It is an interprime number because it is at equal distance from previous prime (10812821) and next prime (10812827).

It is a junction number, because it is equal to n+sod(n) for n = 10812793 and 10812802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10812821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48377 + ... + 48599.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^10812824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10812824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

10812824 is an abundant number, since it is smaller than the sum of its proper divisors (13379176).

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

10812824 is a wasteful number, since it uses less digits than its factorization.

With its successor (10812825) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (284).

10812824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 10812824 is about 3288.2858756501. The cubic root of 10812824 is about 221.1293442387.

The spelling of 10812824 in words is "ten million, eight hundred twelve thousand, eight hundred twenty-four".