852267000 has 288 divisors, whose sum is σ = 2951292240. Its totient is φ = 204672000.

The previous prime is 852266981. The next prime is 852267007. The reversal of 852267000 is 762258.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852267007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20786980 + ... + 20787020.

Almost surely, 2^852267000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852267000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475646120).

852267000 is an abundant number, since it is smaller than the sum of its proper divisors (2099025240).

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

852267000 is a wasteful number, since it uses less digits than its factorization.

852267000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 852267000 is about 29193.6123150254. The cubic root of 852267000 is about 948.1096296510.

Multiplying 852267000 by its sum of digits (30), we get a square (25568010000 = 159900²).

852267000 divided by its sum of digits (30) gives a square (28408900 = 5330²).

The spelling of 852267000 in words is "eight hundred fifty-two million, two hundred sixty-seven thousand".