849903616 has 64 divisors (see below), whose sum is σ = 1748211660. Its totient is φ = 412876800.

The previous prime is 849903589. The next prime is 849903641. The reversal of 849903616 is 616309948.

It can be written as a sum of positive squares in 2 ways, for example, as 702038016 + 147865600 = 26496^2 + 12160^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1212066 + ... + 1212766.

Almost surely, 2^849903616 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 849903616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874105830).

849903616 is an abundant number, since it is smaller than the sum of its proper divisors (898308044).

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

849903616 is an frugal number, since it uses more digits than its factorization.

849903616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 849903616 is about 29153.1064554020. The cubic root of 849903616 is about 947.2324313220.

The spelling of 849903616 in words is "eight hundred forty-nine million, nine hundred three thousand, six hundred sixteen".