849134700 has 432 divisors, whose sum is σ = 3119800320. Its totient is φ = 191600640.

The previous prime is 849134647. The next prime is 849134707. The reversal of 849134700 is 7431948.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (849134707) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6686037 + ... + 6686163.

It is an arithmetic number, because the mean of its divisors is an integer number (7221760).

Almost surely, 2^849134700 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 849134700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559900160).

849134700 is an abundant number, since it is smaller than the sum of its proper divisors (2270665620).

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

849134700 is a wasteful number, since it uses less digits than its factorization.

849134700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 849134700 is about 29139.9159230084. The cubic root of 849134700 is about 946.9466883605.

The spelling of 849134700 in words is "eight hundred forty-nine million, one hundred thirty-four thousand, seven hundred".