82844000 has 96 divisors (see below), whose sum is σ = 206388000. Its totient is φ = 32678400.

The previous prime is 82843993. The next prime is 82844017. The reversal of 82844000 is 44828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555926 + ... + 556074.

It is an arithmetic number, because the mean of its divisors is an integer number (2149875).

Almost surely, 2^82844000 is an apocalyptic number.

82844000 is a gapful number since it is divisible by the number (80) 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 82844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103194000).

82844000 is an abundant number, since it is smaller than the sum of its proper divisors (123544000).

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

82844000 is a wasteful number, since it uses less digits than its factorization.

82844000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 82844000 is about 9101.8679401538. The cubic root of 82844000 is about 435.9336093956.

Adding to 82844000 its reverse (44828), we get a palindrome (82888828).

The spelling of 82844000 in words is "eighty-two million, eight hundred forty-four thousand".