20885800 has 96 divisors (see below), whose sum is σ = 54293400. Its totient is φ = 7418880.

The previous prime is 20885791. The next prime is 20885803. The reversal of 20885800 is 858802.

It can be written as a sum of positive squares in 12 ways, for example, as 256036 + 20629764 = 506^2 + 4542^2 .

It is not an unprimeable number, because it can be changed into a prime (20885803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75262 + ... + 75538.

Almost surely, 2^20885800 is an apocalyptic number.

20885800 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 20885800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27146700).

20885800 is an abundant number, since it is smaller than the sum of its proper divisors (33407600).

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

20885800 is a wasteful number, since it uses less digits than its factorization.

20885800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 20885800 is about 4570.0984672105. The cubic root of 20885800 is about 275.3913985936.

It can be divided in two parts, 2088 and 5800, that multiplied together give a square (12110400 = 3480²).

The spelling of 20885800 in words is "twenty million, eight hundred eighty-five thousand, eight hundred".