853552000 has 128 divisors (see below), whose sum is σ = 2425625280. Its totient is φ = 292608000.

The previous prime is 853551977. The next prime is 853552003. The reversal of 853552000 is 255358.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 853552000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853552003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 108190 + ... + 115810.

Almost surely, 2^853552000 is an apocalyptic number.

853552000 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 853552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212812640).

853552000 is an abundant number, since it is smaller than the sum of its proper divisors (1572073280).

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

853552000 is an equidigital number, since it uses as much as digits as its factorization.

853552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7657 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 853552000 is about 29215.6122646779. The cubic root of 853552000 is about 948.5858924033.

The spelling of 853552000 in words is "eight hundred fifty-three million, five hundred fifty-two thousand".