87343200 has 216 divisors, whose sum is σ = 352196208. Its totient is φ = 19952640.

The previous prime is 87343189. The next prime is 87343253. The reversal of 87343200 is 234378.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49534 + ... + 51266.

It is an arithmetic number, because the mean of its divisors is an integer number (1630538).

Almost surely, 2^87343200 is an apocalyptic number.

87343200 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 87343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176098104).

87343200 is an abundant number, since it is smaller than the sum of its proper divisors (264853008).

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

87343200 is a wasteful number, since it uses less digits than its factorization.

87343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 87343200 is about 9345.7583961924. The cubic root of 87343200 is about 443.6866549797.

Adding to 87343200 its reverse (234378), we get a palindrome (87577578).

The spelling of 87343200 in words is "eighty-seven million, three hundred forty-three thousand, two hundred".