84229824 has 112 divisors (see below), whose sum is σ = 260096000. Its totient is φ = 24046848.

The previous prime is 84229823. The next prime is 84229843. The reversal of 84229824 is 42892248.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (84229823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65217 + ... + 66495.

Almost surely, 2^84229824 is an apocalyptic number.

84229824 is a gapful number since it is divisible by the number (84) 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 84229824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130048000).

84229824 is an abundant number, since it is smaller than the sum of its proper divisors (175866176).

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

84229824 is a wasteful number, since it uses less digits than its factorization.

84229824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1291 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 84229824 is about 9177.6807527828. The cubic root of 84229824 is about 438.3509624231.

The spelling of 84229824 in words is "eighty-four million, two hundred twenty-nine thousand, eight hundred twenty-four".