87308200 has 144 divisors (see below), whose sum is σ = 241725600. Its totient is φ = 29232000.

The previous prime is 87308191. The next prime is 87308227. The reversal of 87308200 is 280378.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 578125 + ... + 578275.

It is an arithmetic number, because the mean of its divisors is an integer number (1678650).

Almost surely, 2^87308200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87308200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120862800).

87308200 is an abundant number, since it is smaller than the sum of its proper divisors (154417400).

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

87308200 is a wasteful number, since it uses less digits than its factorization.

87308200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 87308200 is about 9343.8857013557. The cubic root of 87308200 is about 443.6273826393.

Adding to 87308200 its reverse (280378), we get a palindrome (87588578).

The spelling of 87308200 in words is "eighty-seven million, three hundred eight thousand, two hundred".