820894410 has 96 divisors (see below), whose sum is σ = 2457292032. Its totient is φ = 186243840.

The previous prime is 820894409. The next prime is 820894423. The reversal of 820894410 is 14498028.

820894410 is a `hidden beast` number, since 8 + 208 + 9 + 441 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81555 + ... + 91065.

It is an arithmetic number, because the mean of its divisors is an integer number (25596792).

Almost surely, 2^820894410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820894410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228646016).

820894410 is an abundant number, since it is smaller than the sum of its proper divisors (1636397622).

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

820894410 is a wasteful number, since it uses less digits than its factorization.

820894410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9668 (or 9665 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 820894410 is about 28651.2549463370. The cubic root of 820894410 is about 936.3303471800.

The spelling of 820894410 in words is "eight hundred twenty million, eight hundred ninety-four thousand, four hundred ten".