848964768 has 96 divisors (see below), whose sum is σ = 2366267904. Its totient is φ = 265592832.

The previous prime is 848964749. The next prime is 848964773. The reversal of 848964768 is 867469848.

It is a Cunningham number, because it is equal to 29137²-1.

It is a tau number, because it is divible by the number of its divisors (96).

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, 990196 + ... + 991052.

It is an arithmetic number, because the mean of its divisors is an integer number (24648624).

Almost surely, 2^848964768 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 848964768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183133952).

848964768 is an abundant number, since it is smaller than the sum of its proper divisors (1517303136).

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

848964768 is a wasteful number, since it uses less digits than its factorization.

848964768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1486 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The square root of 848964768 is about 29136.9999828397. Note that the first 4 decimals coincide. The cubic root of 848964768 is about 946.8835153130.

The spelling of 848964768 in words is "eight hundred forty-eight million, nine hundred sixty-four thousand, seven hundred sixty-eight".