821849600 has 240 divisors, whose sum is σ = 2397502800. Its totient is φ = 275251200.

The previous prime is 821849599. The next prime is 821849603. The reversal of 821849600 is 6948128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821849603) 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 23 ways as a sum of consecutive naturals, for example, 1830176 + ... + 1830624.

It is an arithmetic number, because the mean of its divisors is an integer number (9989595).

Almost surely, 2^821849600 is an apocalyptic number.

821849600 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 821849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198751400).

821849600 is an abundant number, since it is smaller than the sum of its proper divisors (1575653200).

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

821849600 is a wasteful number, since it uses less digits than its factorization.

821849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 821849600 is about 28667.9193524748. The cubic root of 821849600 is about 936.6933767003.

The spelling of 821849600 in words is "eight hundred twenty-one million, eight hundred forty-nine thousand, six hundred".