849806100 has 576 divisors, whose sum is σ = 3359784960. Its totient is φ = 181440000.

The previous prime is 849806099. The next prime is 849806117. The reversal of 849806100 is 1608948.

It is a happy number.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11969065 + ... + 11969135.

It is an arithmetic number, because the mean of its divisors is an integer number (5832960).

Almost surely, 2^849806100 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 849806100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679892480).

849806100 is an abundant number, since it is smaller than the sum of its proper divisors (2509978860).

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

849806100 is a wasteful number, since it uses less digits than its factorization.

849806100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 849806100 is about 29151.4339269958. The cubic root of 849806100 is about 947.1962021743.

The spelling of 849806100 in words is "eight hundred forty-nine million, eight hundred six thousand, one hundred".