87668960 has 48 divisors (see below), whose sum is σ = 207821376. Its totient is φ = 34948608.

The previous prime is 87668953. The next prime is 87668963. The reversal of 87668960 is 6986678.

It is a junction number, because it is equal to n+sod(n) for n = 87668899 and 87668908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87668963) 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 7 ways as a sum of consecutive naturals, for example, 57974 + ... + 59466.

It is an arithmetic number, because the mean of its divisors is an integer number (4329612).

Almost surely, 2^87668960 is an apocalyptic number.

87668960 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 87668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103910688).

87668960 is an abundant number, since it is smaller than the sum of its proper divisors (120152416).

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

87668960 is a wasteful number, since it uses less digits than its factorization.

87668960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The square root of 87668960 is about 9363.1704032342. The cubic root of 87668960 is about 444.2375700179.

The spelling of 87668960 in words is "eighty-seven million, six hundred sixty-eight thousand, nine hundred sixty".