282100806 has 160 divisors (see below), whose sum is σ = 731808000. Its totient is φ = 80559360.

The previous prime is 282100781. The next prime is 282100817. The reversal of 282100806 is 608001282.

282100806 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a house number.

It is a self number, because there is not a number n which added to its sum of digits gives 282100806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1893220 + ... + 1893368.

It is an arithmetic number, because the mean of its divisors is an integer number (4573800).

Almost surely, 2^282100806 is an apocalyptic number.

282100806 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 282100806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365904000).

282100806 is an abundant number, since it is smaller than the sum of its proper divisors (449707194).

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

282100806 is a wasteful number, since it uses less digits than its factorization.

282100806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 282100806 is about 16795.8568105352. The cubic root of 282100806 is about 655.8453479254.

The spelling of 282100806 in words is "two hundred eighty-two million, one hundred thousand, eight hundred six".