852034000 has 80 divisors (see below), whose sum is σ = 2073367296. Its totient is φ = 338640000.

The previous prime is 852033991. The next prime is 852034013. The reversal of 852034000 is 430258.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 332725 + ... + 335275.

Almost surely, 2^852034000 is an apocalyptic number.

852034000 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 852034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036683648).

852034000 is an abundant number, since it is smaller than the sum of its proper divisors (1221333296).

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

852034000 is a wasteful number, since it uses less digits than its factorization.

852034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 852034000 is about 29189.6214432459. The cubic root of 852034000 is about 948.0232210184.

Adding to 852034000 its reverse (430258), we get a palindrome (852464258).

The spelling of 852034000 in words is "eight hundred fifty-two million, thirty-four thousand".