848978064 has 160 divisors (see below), whose sum is σ = 2798630400. Its totient is φ = 243699840.

The previous prime is 848978057. The next prime is 848978077. The reversal of 848978064 is 460879848.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 848978064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85587 + ... + 94989.

It is an arithmetic number, because the mean of its divisors is an integer number (17491440).

Almost surely, 2^848978064 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 848978064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399315200).

848978064 is an abundant number, since it is smaller than the sum of its proper divisors (1949652336).

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

848978064 is a wasteful number, since it uses less digits than its factorization.

848978064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9450 (or 9438 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 848978064 is about 29137.2281454499. The cubic root of 848978064 is about 946.8884584696. Note that the first 3 decimals are identical.

The spelling of 848978064 in words is "eight hundred forty-eight million, nine hundred seventy-eight thousand, sixty-four".