8461000 has 32 divisors (see below), whose sum is σ = 19801080. Its totient is φ = 3384000.

The previous prime is 8460997. The next prime is 8461003. The reversal of 8461000 is 1648.

It is an interprime number because it is at equal distance from previous prime (8460997) and next prime (8461003).

It can be written as a sum of positive squares in 4 ways, for example, as 3992004 + 4468996 = 1998^2 + 2114^2 .

It is not an unprimeable number, because it can be changed into a prime (8461003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3231 + ... + 5230.

Almost surely, 2^8461000 is an apocalyptic number.

It is an amenable number.

8461000 is an abundant number, since it is smaller than the sum of its proper divisors (11340080).

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

8461000 is a wasteful number, since it uses less digits than its factorization.

8461000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8482 (or 8468 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 8461000 is about 2908.7798129112. The cubic root of 8461000 is about 203.7701499386.

Adding to 8461000 its reverse (1648), we get a palindrome (8462648).

The spelling of 8461000 in words is "eight million, four hundred sixty-one thousand".