849904188 has 192 divisors, whose sum is σ = 2537256960. Its totient is φ = 215728128.

The previous prime is 849904177. The next prime is 849904201. The reversal of 849904188 is 881409948.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 849904188.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3711258 + ... + 3711486.

It is an arithmetic number, because the mean of its divisors is an integer number (13214880).

Almost surely, 2^849904188 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 849904188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268628480).

849904188 is an abundant number, since it is smaller than the sum of its proper divisors (1687352772).

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

849904188 is a wasteful number, since it uses less digits than its factorization.

849904188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 849904188 is about 29153.1162656756. The cubic root of 849904188 is about 947.2326438233.

The spelling of 849904188 in words is "eight hundred forty-nine million, nine hundred four thousand, one hundred eighty-eight".