20983824 has 30 divisors (see below), whose sum is σ = 58725966. Its totient is φ = 6994560.

The previous prime is 20983799. The next prime is 20983891. The reversal of 20983824 is 42838902.

It can be written as a sum of positive squares in only one way, i.e., 19079424 + 1904400 = 4368^2 + 1380^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72717 + ... + 73004.

Almost surely, 2^20983824 is an apocalyptic number.

20983824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20983824 is an abundant number, since it is smaller than the sum of its proper divisors (37742142).

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

20983824 is a wasteful number, since it uses less digits than its factorization.

20983824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145735 (or 145726 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 20983824 is about 4580.8104086504. The cubic root of 20983824 is about 275.8215607790.

The spelling of 20983824 in words is "twenty million, nine hundred eighty-three thousand, eight hundred twenty-four".