87641568 has 192 divisors, whose sum is σ = 299819520. Its totient is φ = 24385536.

The previous prime is 87641563. The next prime is 87641581. The reversal of 87641568 is 86514678.

It is a happy number.

87641568 is a `hidden beast` number, since 87 + 6 + 4 + 1 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87641563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259896 + ... + 260232.

It is an arithmetic number, because the mean of its divisors is an integer number (1561560).

Almost surely, 2^87641568 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 87641568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149909760).

87641568 is an abundant number, since it is smaller than the sum of its proper divisors (212177952).

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

87641568 is a wasteful number, since it uses less digits than its factorization.

87641568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 392 counting only the distinct ones).

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

The square root of 87641568 is about 9361.7075365555. The cubic root of 87641568 is about 444.1912981368.

It can be divided in two parts, 87641 and 568, that added together give a square (88209 = 297²).

The spelling of 87641568 in words is "eighty-seven million, six hundred forty-one thousand, five hundred sixty-eight".