87179568 has 160 divisors (see below), whose sum is σ = 278553600. Its totient is φ = 22944768.

The previous prime is 87179563. The next prime is 87179629. The reversal of 87179568 is 86597178.

It is a Cunningham number, because it is equal to 9337²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 87179568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87179563) 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, 223918 + ... + 224306.

It is an arithmetic number, because the mean of its divisors is an integer number (1740960).

Almost surely, 2^87179568 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 87179568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139276800).

87179568 is an abundant number, since it is smaller than the sum of its proper divisors (191374032).

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

87179568 is a wasteful number, since it uses less digits than its factorization.

87179568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its digits is 846720, while the sum is 51.

The square root of 87179568 is about 9336.9999464496. Note that the first 4 decimals coincide. The cubic root of 87179568 is about 443.4094087449.

The spelling of 87179568 in words is "eighty-seven million, one hundred seventy-nine thousand, five hundred sixty-eight".