8400561 has 8 divisors (see below), whose sum is σ = 12062400. Its totient is φ = 5169552.

The previous prime is 8400529. The next prime is 8400563. The reversal of 8400561 is 1650048.

8400561 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 8400561 - 2⁵ = 8400529 is a prime.

It is a super-2 number, since 2×8400561² = 141138850229442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8400563) 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, 107661 + ... + 107738.

It is an arithmetic number, because the mean of its divisors is an integer number (1507800).

Almost surely, 2^8400561 is an apocalyptic number.

It is an amenable number.

8400561 is a deficient number, since it is larger than the sum of its proper divisors (3661839).

8400561 is a wasteful number, since it uses less digits than its factorization.

8400561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215415.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 8400561 is about 2898.3721293167. The cubic root of 8400561 is about 203.2837966460.

The spelling of 8400561 in words is "eight million, four hundred thousand, five hundred sixty-one".