849170880 has 168 divisors, whose sum is σ = 2989155312. Its totient is φ = 221147136.

The previous prime is 849170867. The next prime is 849170891. The reversal of 849170880 is 88071948.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 120412 + ... + 127268.

Almost surely, 2^849170880 is an apocalyptic number.

849170880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494577656).

849170880 is an abundant number, since it is smaller than the sum of its proper divisors (2139984432).

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

849170880 is a wasteful number, since it uses less digits than its factorization.

849170880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6923 (or 6910 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 849170880 is about 29140.5367143435. The cubic root of 849170880 is about 946.9601373632.

The spelling of 849170880 in words is "eight hundred forty-nine million, one hundred seventy thousand, eight hundred eighty".