20287600 has 60 divisors (see below), whose sum is σ = 49533784. Its totient is φ = 7983360.

The previous prime is 20287591. The next prime is 20287637. The reversal of 20287600 is 678202.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26422 + ... + 27178.

Almost surely, 2^20287600 is an apocalyptic number.

20287600 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 20287600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766892).

20287600 is an abundant number, since it is smaller than the sum of its proper divisors (29246184).

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

20287600 is a wasteful number, since it uses less digits than its factorization.

20287600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 20287600 is about 4504.1758402620. The cubic root of 20287600 is about 272.7366851970.

The spelling of 20287600 in words is "twenty million, two hundred eighty-seven thousand, six hundred".