87646561 has 8 divisors (see below), whose sum is σ = 90009864. Its totient is φ = 85294080.

The previous prime is 87646553. The next prime is 87646597. The reversal of 87646561 is 16564678.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 85840225 = 1344^2 + 9265^2 .

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 87646561 - 2³ = 87646553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87646541) 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, 15285 + ... + 20221.

It is an arithmetic number, because the mean of its divisors is an integer number (11251233).

Almost surely, 2^87646561 is an apocalyptic number.

It is an amenable number.

87646561 is a deficient number, since it is larger than the sum of its proper divisors (2363303).

87646561 is a wasteful number, since it uses less digits than its factorization.

87646561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5411.

The product of its digits is 241920, while the sum is 43.

The square root of 87646561 is about 9361.9742041943. The cubic root of 87646561 is about 444.1997332705.

The spelling of 87646561 in words is "eighty-seven million, six hundred forty-six thousand, five hundred sixty-one".