10821824 has 28 divisors (see below), whose sum is σ = 23128224. Its totient is φ = 4994304.

The previous prime is 10821781. The next prime is 10821829. The reversal of 10821824 is 42812801.

It is a super-2 number, since 2×10821824² = 234223749373952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 10821793 and 10821802.

It is not an unprimeable number, because it can be changed into a prime (10821829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5672 + ... + 7335.

It is an arithmetic number, because the mean of its divisors is an integer number (826008).

Almost surely, 2^10821824 is an apocalyptic number.

It is an amenable number.

10821824 is an abundant number, since it is smaller than the sum of its proper divisors (12306400).

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

10821824 is a wasteful number, since it uses less digits than its factorization.

10821824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13032 (or 13022 counting only the distinct ones).

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

The square root of 10821824 is about 3289.6540851585. The cubic root of 10821824 is about 221.1906791927.

The spelling of 10821824 in words is "ten million, eight hundred twenty-one thousand, eight hundred twenty-four".