20284800 has 96 divisors (see below), whose sum is σ = 66844680. Its totient is φ = 5406720.

The previous prime is 20284793. The next prime is 20284813. The reversal of 20284800 is 848202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20284800² = 822946222080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8544 + ... + 10656.

Almost surely, 2^20284800 is an apocalyptic number.

20284800 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 20284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33422340).

20284800 is an abundant number, since it is smaller than the sum of its proper divisors (46559880).

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

20284800 is a wasteful number, since it uses less digits than its factorization.

20284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 20284800 is about 4503.8650068580. The cubic root of 20284800 is about 272.7241373377.

It can be divided in two parts, 2028 and 4800, that multiplied together give a square (9734400 = 3120²).

The spelling of 20284800 in words is "twenty million, two hundred eighty-four thousand, eight hundred".