885248000 has 416 divisors, whose sum is σ = 2862263040. Its totient is φ = 265420800.

The previous prime is 885247991. The next prime is 885248027. The reversal of 885248000 is 842588.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 885248000 = 80³ + 960³ = 720³ + 800³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46591991 + ... + 46592009.

It is an arithmetic number, because the mean of its divisors is an integer number (6880440).

Almost surely, 2^885248000 is an apocalyptic number.

885248000 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 885248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431131520).

885248000 is an abundant number, since it is smaller than the sum of its proper divisors (1977015040).

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

885248000 is a wasteful number, since it uses less digits than its factorization.

885248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 885248000 is about 29753.1174837192. The cubic root of 885248000 is about 960.1851494742.

The spelling of 885248000 in words is "eight hundred eighty-five million, two hundred forty-eight thousand".