87163680 has 96 divisors (see below), whose sum is σ = 277167744. Its totient is φ = 23023616.

The previous prime is 87163673. The next prime is 87163711. The reversal of 87163680 is 8636178.

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

It is a super-2 number, since 2×87163680² = 15195014222284800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53437 + ... + 55043.

It is an arithmetic number, because the mean of its divisors is an integer number (2887164).

Almost surely, 2^87163680 is an apocalyptic number.

87163680 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 87163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138583872).

87163680 is an abundant number, since it is smaller than the sum of its proper divisors (190004064).

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

87163680 is a wasteful number, since it uses less digits than its factorization.

87163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 87163680 is about 9336.1490990665. The cubic root of 87163680 is about 443.3824707943.

The spelling of 87163680 in words is "eighty-seven million, one hundred sixty-three thousand, six hundred eighty".