20083824 has 60 divisors (see below), whose sum is σ = 56558632. Its totient is φ = 6652800.

The previous prime is 20083813. The next prime is 20083831. The reversal of 20083824 is 42838002.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 30054 + ... + 30714.

Almost surely, 2^20083824 is an apocalyptic number.

20083824 is a gapful number since it is divisible by the number (24) 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 20083824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28279316).

20083824 is an abundant number, since it is smaller than the sum of its proper divisors (36474808).

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

20083824 is a wasteful number, since it uses less digits than its factorization.

20083824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20083824 is about 4481.4979638509. The cubic root of 20083824 is about 271.8204553281.

It can be divided in two parts, 2008 and 3824, that added together give a cube (5832 = 18³).

The spelling of 20083824 in words is "twenty million, eighty-three thousand, eight hundred twenty-four".