865852000 has 96 divisors (see below), whose sum is σ = 2291181984. Its totient is φ = 319680000.

The previous prime is 865851949. The next prime is 865852003. The reversal of 865852000 is 258568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865852003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43675 + ... + 60325.

It is an arithmetic number, because the mean of its divisors is an integer number (23866479).

Almost surely, 2^865852000 is an apocalyptic number.

865852000 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 865852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145590992).

865852000 is an abundant number, since it is smaller than the sum of its proper divisors (1425329984).

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

865852000 is a wasteful number, since it uses less digits than its factorization.

865852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16689 (or 16671 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 865852000 is about 29425.3632093132. The cubic root of 865852000 is about 953.1206702303.

The spelling of 865852000 in words is "eight hundred sixty-five million, eight hundred fifty-two thousand".