8680561 has 8 divisors (see below), whose sum is σ = 8946504. Its totient is φ = 8417280.

The previous prime is 8680559. The next prime is 8680583. The reversal of 8680561 is 1650868.

8680561 = 284² + 285² + ... + 365².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 160000 + 8520561 = 400^2 + 2919^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 8680561 - 2¹ = 8680559 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8680501) 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, 7365 + ... + 8461.

It is an arithmetic number, because the mean of its divisors is an integer number (1118313).

Almost surely, 2^8680561 is an apocalyptic number.

It is an amenable number.

8680561 is a deficient number, since it is larger than the sum of its proper divisors (265943).

8680561 is a wasteful number, since it uses less digits than its factorization.

8680561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331.

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 8680561 is about 2946.2791788967. The cubic root of 8680561 is about 205.5177158278.

The spelling of 8680561 in words is "eight million, six hundred eighty thousand, five hundred sixty-one".