84087824 has 20 divisors (see below), whose sum is σ = 165154236. Its totient is φ = 41467392.

The previous prime is 84087821. The next prime is 84087851. The reversal of 84087824 is 42878048.

It can be written as a sum of positive squares in 2 ways, for example, as 70896400 + 13191424 = 8420^2 + 3632^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (84087821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34829 + ... + 37164.

Almost surely, 2^84087824 is an apocalyptic number.

It is an amenable number.

84087824 is a deficient number, since it is larger than the sum of its proper divisors (81066412).

84087824 is a wasteful number, since it uses less digits than its factorization.

84087824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72074 (or 72068 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 41.

The square root of 84087824 is about 9169.9413302376. The cubic root of 84087824 is about 438.1044905448.

The spelling of 84087824 in words is "eighty-four million, eighty-seven thousand, eight hundred twenty-four".