806196600 has 288 divisors, whose sum is σ = 3110515200. Its totient is φ = 185068800.

The previous prime is 806196563. The next prime is 806196617. The reversal of 806196600 is 6691608.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 375129 + ... + 377271.

It is an arithmetic number, because the mean of its divisors is an integer number (10800400).

Almost surely, 2^806196600 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 806196600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555257600).

806196600 is an abundant number, since it is smaller than the sum of its proper divisors (2304318600).

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

806196600 is a wasteful number, since it uses less digits than its factorization.

806196600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 806196600 is about 28393.6013918629. The cubic root of 806196600 is about 930.7084438909.

The spelling of 806196600 in words is "eight hundred six million, one hundred ninety-six thousand, six hundred".