20284320 has 96 divisors (see below), whose sum is σ = 73035648. Its totient is φ = 4635648.

The previous prime is 20284301. The next prime is 20284331. The reversal of 20284320 is 2348202.

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

It is a super-2 number, since 2×20284320² = 822907275724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342 + ... + 6378.

It is an arithmetic number, because the mean of its divisors is an integer number (760788).

Almost surely, 2^20284320 is an apocalyptic number.

20284320 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 20284320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36517824).

20284320 is an abundant number, since it is smaller than the sum of its proper divisors (52751328).

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

20284320 is a wasteful number, since it uses less digits than its factorization.

20284320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6062 (or 6054 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 20284320 is about 4503.8117189776. The cubic root of 20284320 is about 272.7219861602.

The spelling of 20284320 in words is "twenty million, two hundred eighty-four thousand, three hundred twenty".