10821820 has 24 divisors (see below), whose sum is σ = 23048928. Its totient is φ = 4267200.

The previous prime is 10821781. The next prime is 10821829. The reversal of 10821820 is 2812801.

It is a super-2 number, since 2×10821820² = 234223576224800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10821791 and 10821800.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2391 + ... + 5230.

It is an arithmetic number, because the mean of its divisors is an integer number (960372).

Almost surely, 2^10821820 is an apocalyptic number.

10821820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10821820 is an abundant number, since it is smaller than the sum of its proper divisors (12227108).

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

10821820 is a wasteful number, since it uses less digits than its factorization.

10821820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7701 (or 7699 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 10821820 is about 3289.6534771918. The cubic root of 10821820 is about 221.1906519402.

The spelling of 10821820 in words is "ten million, eight hundred twenty-one thousand, eight hundred twenty".