87384080 has 160 divisors (see below), whose sum is σ = 251341056. Its totient is φ = 27574272.

The previous prime is 87384053. The next prime is 87384103. The reversal of 87384080 is 8048378.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637772 + ... + 637908.

Almost surely, 2^87384080 is an apocalyptic number.

87384080 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 87384080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125670528).

87384080 is an abundant number, since it is smaller than the sum of its proper divisors (163956976).

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

87384080 is a wasteful number, since it uses less digits than its factorization.

87384080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 87384080 is about 9347.9452287655. The cubic root of 87384080 is about 443.7558650286.

The spelling of 87384080 in words is "eighty-seven million, three hundred eighty-four thousand, eighty".