8361000 has 96 divisors (see below), whose sum is σ = 28290600. Its totient is φ = 2227200.

The previous prime is 8360999. The next prime is 8361011. The reversal of 8361000 is 1638.

8361000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 509796 + 7851204 = 714^2 + 2802^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8536 + ... + 9464.

Almost surely, 2^8361000 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 8361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14145300).

8361000 is an abundant number, since it is smaller than the sum of its proper divisors (19929600).

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

8361000 is a wasteful number, since it uses less digits than its factorization.

8361000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 8361000 is about 2891.5393824052. The cubic root of 8361000 is about 202.9641843517.

Adding to 8361000 its reverse (1638), we get a palindrome (8362638).

The spelling of 8361000 in words is "eight million, three hundred sixty-one thousand".