20413824 has 32 divisors (see below), whose sum is σ = 54225240. Its totient is φ = 6804480.

The previous prime is 20413801. The next prime is 20413831. The reversal of 20413824 is 42831402.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20413794 and 20413803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26197 + ... + 26964.

Almost surely, 2^20413824 is an apocalyptic number.

20413824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20413824 is an abundant number, since it is smaller than the sum of its proper divisors (33811416).

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

20413824 is an equidigital number, since it uses as much as digits as its factorization.

20413824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53178 (or 53166 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 20413824 is about 4518.1659996065. The cubic root of 20413824 is about 273.3011476412.

It can be divided in two parts, 204 and 13824, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 20413824 in words is "twenty million, four hundred thirteen thousand, eight hundred twenty-four".