20288600 has 48 divisors (see below), whose sum is σ = 47973120. Its totient is φ = 7977600.

The previous prime is 20288557. The next prime is 20288621. The reversal of 20288600 is 688202.

It is a self number, because there is not a number n which added to its sum of digits gives 20288600.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 11369 + ... + 13031.

It is an arithmetic number, because the mean of its divisors is an integer number (999440).

Almost surely, 2^20288600 is an apocalyptic number.

20288600 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 20288600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23986560).

20288600 is an abundant number, since it is smaller than the sum of its proper divisors (27684520).

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

20288600 is a wasteful number, since it uses less digits than its factorization.

20288600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 20288600 is about 4504.2868469937. The cubic root of 20288600 is about 272.7411662956.

The spelling of 20288600 in words is "twenty million, two hundred eighty-eight thousand, six hundred".