20424000 has 224 divisors, whose sum is σ = 72274176. Its totient is φ = 5068800.

The previous prime is 20423989. The next prime is 20424043. The reversal of 20424000 is 42402.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 31 ways as a sum of consecutive naturals, for example, 551982 + ... + 552018.

Almost surely, 2^20424000 is an apocalyptic number.

20424000 is a gapful number since it is divisible by the number (20) 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 20424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36137088).

20424000 is an abundant number, since it is smaller than the sum of its proper divisors (51850176).

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

20424000 is a wasteful number, since it uses less digits than its factorization.

20424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 20424000 is about 4519.2919799455. The cubic root of 20424000 is about 273.3465523384.

Adding to 20424000 its reverse (42402), we get a palindrome (20466402).

The spelling of 20424000 in words is "twenty million, four hundred twenty-four thousand".