87885640 has 64 divisors (see below), whose sum is σ = 209563200. Its totient is φ = 33078528.

The previous prime is 87885601. The next prime is 87885647. The reversal of 87885640 is 4658878.

It is not an unprimeable number, because it can be changed into a prime (87885647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149427 + ... + 150013.

It is an arithmetic number, because the mean of its divisors is an integer number (3274425).

Almost surely, 2^87885640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87885640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104781600).

87885640 is an abundant number, since it is smaller than the sum of its proper divisors (121677560).

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

87885640 is a wasteful number, since it uses less digits than its factorization.

87885640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 87885640 is about 9374.7341295634. The cubic root of 87885640 is about 444.6032570413.

The spelling of 87885640 in words is "eighty-seven million, eight hundred eighty-five thousand, six hundred forty".