87017568 has 96 divisors (see below), whose sum is σ = 262362240. Its totient is φ = 24975360.

The previous prime is 87017561. The next prime is 87017591. The reversal of 87017568 is 86571078.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87017561) 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, 17896 + ... + 22232.

It is an arithmetic number, because the mean of its divisors is an integer number (2732940).

Almost surely, 2^87017568 is an apocalyptic number.

87017568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87017568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131181120).

87017568 is an abundant number, since it is smaller than the sum of its proper divisors (175344672).

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

87017568 is a wasteful number, since it uses less digits than its factorization.

87017568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 87017568 is about 9328.3207492024. The cubic root of 87017568 is about 443.1345856964.

The spelling of 87017568 in words is "eighty-seven million, seventeen thousand, five hundred sixty-eight".