10820000 has 60 divisors (see below), whose sum is σ = 26668026. Its totient is φ = 4320000.

The previous prime is 10819979. The next prime is 10820009. The reversal of 10820000 is 2801.

It can be written as a sum of positive squares in 5 ways, for example, as 35344 + 10784656 = 188^2 + 3284^2 .

It is not an unprimeable number, because it can be changed into a prime (10820009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19730 + ... + 20270.

Almost surely, 2^10820000 is an apocalyptic number.

10820000 is a gapful number since it is divisible by the number (10) 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 10820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13334013).

10820000 is an abundant number, since it is smaller than the sum of its proper divisors (15848026).

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

10820000 is an frugal number, since it uses more digits than its factorization.

10820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10820000 is about 3289.3768406797. The cubic root of 10820000 is about 221.1782513903.

Adding to 10820000 its reverse (2801), we get a palindrome (10822801).

The spelling of 10820000 in words is "ten million, eight hundred twenty thousand".