87395200 has 96 divisors (see below), whose sum is σ = 223110720. Its totient is φ = 33792000.

The previous prime is 87395179. The next prime is 87395201. The reversal of 87395200 is 259378.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87395201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98760 + ... + 99640.

It is an arithmetic number, because the mean of its divisors is an integer number (2324070).

Almost surely, 2^87395200 is an apocalyptic number.

87395200 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 87395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111555360).

87395200 is an abundant number, since it is smaller than the sum of its proper divisors (135715520).

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

87395200 is a wasteful number, since it uses less digits than its factorization.

87395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 87395200 is about 9348.5399929615. The cubic root of 87395200 is about 443.7746875110.

The spelling of 87395200 in words is "eighty-seven million, three hundred ninety-five thousand, two hundred".