87159680 has 64 divisors (see below), whose sum is σ = 220650480. Its totient is φ = 32808960.

The previous prime is 87159659. The next prime is 87159689. The reversal of 87159680 is 8695178.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87159689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6875 + ... + 14885.

Almost surely, 2^87159680 is an apocalyptic number.

87159680 is a gapful number since it is divisible by the number (80) 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 87159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110325240).

87159680 is an abundant number, since it is smaller than the sum of its proper divisors (133490800).

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

87159680 is a wasteful number, since it uses less digits than its factorization.

87159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8047 (or 8035 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The square root of 87159680 is about 9335.9348755226. The cubic root of 87159680 is about 443.3756883171.

The spelling of 87159680 in words is "eighty-seven million, one hundred fifty-nine thousand, six hundred eighty".