87645618 has 64 divisors (see below), whose sum is σ = 206115840. Its totient is φ = 27561600.

The previous prime is 87645601. The next prime is 87645619. The reversal of 87645618 is 81654678.

It is a happy number.

87645618 is a `hidden beast` number, since 87 + 6 + 4 + 561 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (87645619) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67996 + ... + 69272.

It is an arithmetic number, because the mean of its divisors is an integer number (3220560).

Almost surely, 2^87645618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87645618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103057920).

87645618 is an abundant number, since it is smaller than the sum of its proper divisors (118470222).

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

87645618 is a wasteful number, since it uses less digits than its factorization.

87645618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1354 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 87645618 is about 9361.9238407498. The cubic root of 87645618 is about 444.1981401985.

The spelling of 87645618 in words is "eighty-seven million, six hundred forty-five thousand, six hundred eighteen".