10284000 has 96 divisors (see below), whose sum is σ = 33729696. Its totient is φ = 2739200.

The previous prime is 10283981. The next prime is 10284011. The reversal of 10284000 is 48201.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11572 + ... + 12428.

It is an arithmetic number, because the mean of its divisors is an integer number (351351).

Almost surely, 2^10284000 is an apocalyptic number.

10284000 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 10284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16864848).

10284000 is an abundant number, since it is smaller than the sum of its proper divisors (23445696).

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

10284000 is an equidigital number, since it uses as much as digits as its factorization.

10284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10284000 is about 3206.8676305704. The cubic root of 10284000 is about 217.4639919251.

The spelling of 10284000 in words is "ten million, two hundred eighty-four thousand".