860842000 has 80 divisors (see below), whose sum is σ = 2137956912. Its totient is φ = 335001600.

The previous prime is 860841991. The next prime is 860842001. The reversal of 860842000 is 248068.

It can be written as a sum of positive squares in 8 ways, for example, as 68757264 + 792084736 = 8292^2 + 28144^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 860842000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (860842001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68184 + ... + 79816.

Almost surely, 2^860842000 is an apocalyptic number.

860842000 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 860842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068978456).

860842000 is an abundant number, since it is smaller than the sum of its proper divisors (1277114912).

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

860842000 is a wasteful number, since it uses less digits than its factorization.

860842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11693 (or 11677 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 860842000 is about 29340.1090659186. The cubic root of 860842000 is about 951.2787949240.

The spelling of 860842000 in words is "eight hundred sixty million, eight hundred forty-two thousand".