87384192 has 256 divisors, whose sum is σ = 293760000. Its totient is φ = 22450176.

The previous prime is 87384151. The next prime is 87384197. The reversal of 87384192 is 29148378.

It is a super-2 number, since 2×87384192² = 15271994022985728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (87384197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1481059 + ... + 1481117.

It is an arithmetic number, because the mean of its divisors is an integer number (1147500).

Almost surely, 2^87384192 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 87384192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880000).

87384192 is an abundant number, since it is smaller than the sum of its proper divisors (206375808).

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

87384192 is a wasteful number, since it uses less digits than its factorization.

87384192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 87384192 is about 9347.9512193849. The cubic root of 87384192 is about 443.7560546155.

The spelling of 87384192 in words is "eighty-seven million, three hundred eighty-four thousand, one hundred ninety-two".