20852000 has 96 divisors (see below), whose sum is σ = 55311984. Its totient is φ = 7680000.

The previous prime is 20851991. The next prime is 20852023. The reversal of 20852000 is 25802.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2155024 + 18696976 = 1468^2 + 4324^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20852000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51800 + ... + 52200.

Almost surely, 2^20852000 is an apocalyptic number.

20852000 is a gapful number since it is divisible by the number (20) 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 20852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27655992).

20852000 is an abundant number, since it is smaller than the sum of its proper divisors (34459984).

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

20852000 is a wasteful number, since it uses less digits than its factorization.

20852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 20852000 is about 4566.3990189207. The cubic root of 20852000 is about 275.2427608424.

Adding to 20852000 its reverse (25802), we get a palindrome (20877802).

The spelling of 20852000 in words is "twenty million, eight hundred fifty-two thousand".