87321600 has 198 divisors, whose sum is σ = 313477580. Its totient is φ = 23224320.

The previous prime is 87321589. The next prime is 87321601. The reversal of 87321600 is 612378.

It is not an unprimeable number, because it can be changed into a prime (87321601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230211 + ... + 230589.

Almost surely, 2^87321600 is an apocalyptic number.

87321600 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 87321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156738790).

87321600 is an abundant number, since it is smaller than the sum of its proper divisors (226155980).

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

87321600 is a wasteful number, since it uses less digits than its factorization.

87321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 87321600 is about 9344.6027202873. The cubic root of 87321600 is about 443.6500773492.

Adding to 87321600 its reverse (612378), we get a palindrome (87933978).

The spelling of 87321600 in words is "eighty-seven million, three hundred twenty-one thousand, six hundred".