20173824 has 132 divisors (see below), whose sum is σ = 63866400. Its totient is φ = 6082560.

The previous prime is 20173799. The next prime is 20173847. The reversal of 20173824 is 42837102.

It is a tau number, because it is divible by the number of its divisors (132).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101277 + ... + 101475.

Almost surely, 2^20173824 is an apocalyptic number.

20173824 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 20173824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31933200).

20173824 is an abundant number, since it is smaller than the sum of its proper divisors (43692576).

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

20173824 is a wasteful number, since it uses less digits than its factorization.

20173824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20173824 is about 4491.5280250712. The cubic root of 20173824 is about 272.2258792666.

Subtracting 20173824 from its reverse (42837102), we obtain a triangular number (22663278 = T₆₇₃₂).

The spelling of 20173824 in words is "twenty million, one hundred seventy-three thousand, eight hundred twenty-four".