84882006 has 160 divisors (see below), whose sum is σ = 229996800. Its totient is φ = 23094720.

The previous prime is 84882001. The next prime is 84882011. The reversal of 84882006 is 60028848.

It is an interprime number because it is at equal distance from previous prime (84882001) and next prime (84882011).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84882001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 778680 + ... + 778788.

It is an arithmetic number, because the mean of its divisors is an integer number (1437480).

Almost surely, 2^84882006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84882006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114998400).

84882006 is an abundant number, since it is smaller than the sum of its proper divisors (145114794).

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

84882006 is a wasteful number, since it uses less digits than its factorization.

84882006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 84882006 is about 9213.1431118810. The cubic root of 84882006 is about 439.4794222098.

The spelling of 84882006 in words is "eighty-four million, eight hundred eighty-two thousand, six".