885856000 has 288 divisors, whose sum is σ = 2448875520. Its totient is φ = 317952000.

The previous prime is 885855989. The next prime is 885856001. The reversal of 885856000 is 658588.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (885856001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18847977 + ... + 18848023.

It is an arithmetic number, because the mean of its divisors is an integer number (8503040).

Almost surely, 2^885856000 is an apocalyptic number.

885856000 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 885856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224437760).

885856000 is an abundant number, since it is smaller than the sum of its proper divisors (1563019520).

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

885856000 is a wasteful number, since it uses less digits than its factorization.

885856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The square root of 885856000 is about 29763.3331466756. Note that the first 3 decimals coincide. The cubic root of 885856000 is about 960.4049217752.

The spelling of 885856000 in words is "eight hundred eighty-five million, eight hundred fifty-six thousand".