82644300 has 216 divisors, whose sum is σ = 284356800. Its totient is φ = 20761920.

The previous prime is 82644277. The next prime is 82644311. The reversal of 82644300 is 344628.

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

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 71 ways as a sum of consecutive naturals, for example, 461611 + ... + 461789.

Almost surely, 2^82644300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82644300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142178400).

82644300 is an abundant number, since it is smaller than the sum of its proper divisors (201712500).

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

82644300 is a wasteful number, since it uses less digits than its factorization.

82644300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 82644300 is about 9090.8910454366. The cubic root of 82644300 is about 435.5830469463.

Adding to 82644300 its reverse (344628), we get a palindrome (82988928).

It can be divided in two parts, 82644 and 300, that added together give a square (82944 = 288²).

The spelling of 82644300 in words is "eighty-two million, six hundred forty-four thousand, three hundred".