849505920 has 128 divisors (see below), whose sum is σ = 2825677440. Its totient is φ = 216674304.

The previous prime is 849505919. The next prime is 849505933. The reversal of 849505920 is 29505948.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34542 + ... + 53778.

It is an arithmetic number, because the mean of its divisors is an integer number (22075605).

Almost surely, 2^849505920 is an apocalyptic number.

849505920 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 849505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412838720).

849505920 is an abundant number, since it is smaller than the sum of its proper divisors (1976171520).

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

849505920 is a wasteful number, since it uses less digits than its factorization.

849505920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19282 (or 19270 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 849505920 is about 29146.2848404389. The cubic root of 849505920 is about 947.0846618905.

The spelling of 849505920 in words is "eight hundred forty-nine million, five hundred five thousand, nine hundred twenty".