10284320 has 96 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 3649536.

The previous prime is 10284311. The next prime is 10284341. The reversal of 10284320 is 2348201.

10284320 = T₄₁₇ + T₄₁₈ + ... + T₅₁₁.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10284292 and 10284301.

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 15 ways as a sum of consecutive naturals, for example, 51581 + ... + 51779.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 2^10284320 is an apocalyptic number.

10284320 is a gapful number since it is divisible by the number (10) 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 10284320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608000).

10284320 is an abundant number, since it is smaller than the sum of its proper divisors (16931680).

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

10284320 is a wasteful number, since it uses less digits than its factorization.

10284320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 10284320 is about 3206.9175231053. The cubic root of 10284320 is about 217.4662474598.

The spelling of 10284320 in words is "ten million, two hundred eighty-four thousand, three hundred twenty".