849108960 has 384 divisors, whose sum is σ = 3480744960. Its totient is φ = 189278208.

The previous prime is 849108937. The next prime is 849108961. The reversal of 849108960 is 69801948.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849108961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1299994 + ... + 1300646.

It is an arithmetic number, because the mean of its divisors is an integer number (9064440).

Almost surely, 2^849108960 is an apocalyptic number.

849108960 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 849108960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740372480).

849108960 is an abundant number, since it is smaller than the sum of its proper divisors (2631636000).

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

849108960 is a wasteful number, since it uses less digits than its factorization.

849108960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 849108960 is about 29139.4742574399. The cubic root of 849108960 is about 946.9371199320.

The spelling of 849108960 in words is "eight hundred forty-nine million, one hundred eight thousand, nine hundred sixty".