87200384 has 16 divisors (see below), whose sum is σ = 173719770. Its totient is φ = 43600128.

The previous prime is 87200371. The next prime is 87200389. The reversal of 87200384 is 48300278.

It can be written as a sum of positive squares in only one way, i.e., 76177984 + 11022400 = 8728^2 + 3320^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 87200384.

It is not an unprimeable number, because it can be changed into a prime (87200389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 340499 + ... + 340754.

Almost surely, 2^87200384 is an apocalyptic number.

It is an amenable number.

87200384 is a deficient number, since it is larger than the sum of its proper divisors (86519386).

87200384 is an equidigital number, since it uses as much as digits as its factorization.

87200384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681267 (or 681255 counting only the distinct ones).

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

The square root of 87200384 is about 9338.1145848613. The cubic root of 87200384 is about 443.4446971194. Note that the first 3 decimals are identical.

The spelling of 87200384 in words is "eighty-seven million, two hundred thousand, three hundred eighty-four".