20864800 has 72 divisors (see below), whose sum is σ = 55590192. Its totient is φ = 7584000.

The previous prime is 20864791. The next prime is 20864803. The reversal of 20864800 is 846802.

It is not an unprimeable number, because it can be changed into a prime (20864803) 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 11 ways as a sum of consecutive naturals, for example, 7615 + ... + 9985.

It is an arithmetic number, because the mean of its divisors is an integer number (772086).

Almost surely, 2^20864800 is an apocalyptic number.

20864800 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 20864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27795096).

20864800 is an abundant number, since it is smaller than the sum of its proper divisors (34725392).

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

20864800 is a wasteful number, since it uses less digits than its factorization.

20864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 20864800 is about 4567.8003458995. The cubic root of 20864800 is about 275.2990685778.

It can be divided in two parts, 2086 and 4800, that added together give a palindrome (6886).

The spelling of 20864800 in words is "twenty million, eight hundred sixty-four thousand, eight hundred".