87384200 has 36 divisors (see below), whose sum is σ = 203476095. Its totient is φ = 34900800.

The previous prime is 87384197. The next prime is 87384223. The reversal of 87384200 is 248378.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 58461316 + 28922884 = 7646^2 + 5378^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6610.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 131870 + ... + 132530.

Almost surely, 2^87384200 is an apocalyptic number.

It is an amenable number.

87384200 is an abundant number, since it is smaller than the sum of its proper divisors (116091895).

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

87384200 is an equidigital number, since it uses as much as digits as its factorization.

87384200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 87384200 is about 9347.9516472862. The cubic root of 87384200 is about 443.7560681574.

Multiplying 87384200 by its sum of digits (32), we get a square (2796294400 = 52880²).

The spelling of 87384200 in words is "eighty-seven million, three hundred eighty-four thousand, two hundred".