84884000 has 48 divisors (see below), whose sum is σ = 208569816. Its totient is φ = 33952000.

The previous prime is 84883991. The next prime is 84884003. The reversal of 84884000 is 48848.

It can be written as a sum of positive squares in 4 ways, for example, as 49505296 + 35378704 = 7036^2 + 5948^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (84884003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6611 + ... + 14610.

Almost surely, 2^84884000 is an apocalyptic number.

84884000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84884000 is an abundant number, since it is smaller than the sum of its proper divisors (123685816).

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

84884000 is a wasteful number, since it uses less digits than its factorization.

84884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21246 (or 21228 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 84884000 is about 9213.2513262149. The cubic root of 84884000 is about 439.4828635167.

It can be divided in two parts, 848 and 84000, that added together give a palindrome (84848).

The spelling of 84884000 in words is "eighty-four million, eight hundred eighty-four thousand".