885396960 has 768 divisors, whose sum is σ = 3948134400. Its totient is φ = 180652032.

The previous prime is 885396931. The next prime is 885396991. The reversal of 885396960 is 69693588.

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

It is a junction number, because it is equal to n+sod(n) for n = 885396897 and 885396906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13214847 + ... + 13214913.

It is an arithmetic number, because the mean of its divisors is an integer number (5140800).

Almost surely, 2^885396960 is an apocalyptic number.

885396960 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 885396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974067200).

885396960 is an abundant number, since it is smaller than the sum of its proper divisors (3062737440).

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

885396960 is a wasteful number, since it uses less digits than its factorization.

885396960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 885396960 is about 29755.6206455184. The cubic root of 885396960 is about 960.2390029925.

The spelling of 885396960 in words is "eight hundred eighty-five million, three hundred ninety-six thousand, nine hundred sixty".