849937920 has 160 divisors (see below), whose sum is σ = 2926500192. Its totient is φ = 209190912.

The previous prime is 849937901. The next prime is 849937931. The reversal of 849937920 is 29739948.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 95584 + ... + 104096.

Almost surely, 2^849937920 is an apocalyptic number.

849937920 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 849937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463250096).

849937920 is an abundant number, since it is smaller than the sum of its proper divisors (2076562272).

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

849937920 is a wasteful number, since it uses less digits than its factorization.

849937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8552 (or 8536 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 849937920 is about 29153.6947915697. The cubic root of 849937920 is about 947.2451752864.

The spelling of 849937920 in words is "eight hundred forty-nine million, nine hundred thirty-seven thousand, nine hundred twenty".